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90223488 = 2732172271
BaseRepresentation
bin1010110000010…
…11001110000000
320021202211100200
411120023032000
5141044122423
612541445200
72143613145
oct530131600
9207684320
1090223488
1146a24273
1226270800
13158cc8a4
14bda83cc
157dc2d43
hex560b380

90223488 has 144 divisors (see below), whose sum is σ = 276815760. Its totient is φ = 28200960.

The previous prime is 90223487. The next prime is 90223489. The reversal of 90223488 is 88432209.

It is an interprime number because it is at equal distance from previous prime (90223487) and next prime (90223489).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×902234883 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90223487) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332793 + ... + 333063.

Almost surely, 290223488 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 90223488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138407880).

90223488 is an abundant number, since it is smaller than the sum of its proper divisors (186592272).

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

90223488 is a wasteful number, since it uses less digits than its factorization.

90223488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 90223488 is about 9498.6045290874. The cubic root of 90223488 is about 448.5111088474.

The spelling of 90223488 in words is "ninety million, two hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 271 272 288 289 306 384 408 542 544 576 578 612 813 816 867 1084 1088 1152 1156 1224 1626 1632 1734 2168 2176 2312 2439 2448 2601 3252 3264 3468 4336 4607 4624 4878 4896 5202 6504 6528 6936 8672 9214 9248 9756 9792 10404 13008 13821 13872 17344 18428 18496 19512 19584 20808 26016 27642 27744 34688 36856 36992 39024 41463 41616 52032 55284 55488 73712 78048 78319 82926 83232 104064 110568 110976 147424 156096 156638 165852 166464 221136 234957 294848 312192 313276 331704 332928 442272 469914 589696 626552 663408 704871 884544 939828 1253104 1326816 1409742 1769088 1879656 2506208 2653632 2819484 3759312 5012416 5307264 5638968 7518624 10024832 11277936 15037248 22555872 30074496 45111744 90223488