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3222140472 = 233423415273
BaseRepresentation
bin1100000000001101…
…1111011000111000
322022120000200210000
43000003133120320
523044331443342
61251421353000
7142563512355
oct30003373070
98276020700
103222140472
1114038a5911
1275b108760
133c47212c5
14227d0d62c
1513cd2344c
hexc00df638

3222140472 has 160 divisors (see below), whose sum is σ = 9648888480. Its totient is φ = 1002101760.

The previous prime is 3222140437. The next prime is 3222140473. The reversal of 3222140472 is 2740412223.

3222140472 is a `hidden beast` number, since 32 + 22 + 140 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222140473) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 608428 + ... + 613700.

It is an arithmetic number, because the mean of its divisors is an integer number (60305553).

Almost surely, 23222140472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222140472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824444240).

3222140472 is an abundant number, since it is smaller than the sum of its proper divisors (6426748008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3222140472 is a wasteful number, since it uses less digits than its factorization.

3222140472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3222140472 is about 56763.9011344358. The cubic root of 3222140472 is about 1477.0033827878.

Adding to 3222140472 its reverse (2740412223), we get a palindrome (5962552695).

The spelling of 3222140472 in words is "three billion, two hundred twenty-two million, one hundred forty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 41 46 54 69 72 81 82 92 108 123 138 162 164 184 207 216 246 276 324 328 369 414 492 552 621 648 738 828 943 984 1107 1242 1476 1656 1863 1886 2214 2484 2829 2952 3321 3726 3772 4428 4968 5273 5658 6642 7452 7544 8487 8856 10546 11316 13284 14904 15819 16974 21092 22632 25461 26568 31638 33948 42184 47457 50922 63276 67896 76383 94914 101844 121279 126552 142371 152766 189828 203688 216193 242558 284742 305532 363837 379656 427113 432386 485116 569484 611064 648579 727674 854226 864772 970232 1091511 1138968 1297158 1455348 1708452 1729544 1945737 2183022 2594316 2910696 3274533 3416904 3891474 4366044 4972439 5188632 5837211 6549066 7782948 8732088 9823599 9944878 11674422 13098132 14917317 15565896 17511633 19647198 19889756 23348844 26196264 29834634 35023266 39294396 39779512 44751951 46697688 59669268 70046532 78588792 89503902 119338536 134255853 140093064 179007804 268511706 358015608 402767559 537023412 805535118 1074046824 1611070236 3222140472