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2202405140 = 22513193971123
BaseRepresentation
bin1000001101000110…
…0000100100010100
312200111012202212202
42003101200210110
514002303431030
61002313104032
7105402064145
oct20321404424
95614182782
102202405140
11a30222641
125156b8018
13291394310
1416c705acc
15cd544745
hex83460914

2202405140 has 96 divisors (see below), whose sum is σ = 5260859520. Its totient is φ = 767771136.

The previous prime is 2202405119. The next prime is 2202405151. The reversal of 2202405140 is 415042022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1960619 + ... + 1961741.

It is an arithmetic number, because the mean of its divisors is an integer number (54800620).

Almost surely, 22202405140 is an apocalyptic number.

2202405140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202405140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630429760).

2202405140 is an abundant number, since it is smaller than the sum of its proper divisors (3058454380).

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

2202405140 is a wasteful number, since it uses less digits than its factorization.

2202405140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2202405140 is about 46929.7894732120. The cubic root of 2202405140 is about 1301.0652294689.

Adding to 2202405140 its reverse (415042022), we get a palindrome (2617447162).

The spelling of 2202405140 in words is "two billion, two hundred two million, four hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 397 494 794 988 1123 1235 1588 1985 2246 2470 3970 4492 4940 5161 5615 7543 7940 10322 11230 14599 15086 20644 21337 22460 25805 29198 30172 37715 42674 51610 58396 72995 75430 85348 98059 103220 106685 145990 150860 196118 213370 277381 291980 392236 426740 445831 490295 554762 891662 980590 1109524 1386905 1783324 1961180 2229155 2773810 4458310 5547620 5795803 8470789 8916620 11591606 16941578 23183212 28979015 33883156 42353945 57958030 84707890 110120257 115916060 169415780 220240514 440481028 550601285 1101202570 2202405140