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161225152236 = 2232471011974789
BaseRepresentation
bin1001011000100111000…
…1001001011011101100
3120102011001120022220200
42112021301021123230
510120142114332421
6202022114313500
714435211116421
oct2261161113354
9512131508820
10161225152236
1162414439175
12272b5b88890
1312285029685
147b3650dd48
1542d92e5726
hex2589c496ec

161225152236 has 144 divisors (see below), whose sum is σ = 422555253120. Its totient is φ = 51802329600.

The previous prime is 161225152201. The next prime is 161225152259. The reversal of 161225152236 is 632251522161.

161225152236 is a `hidden beast` number, since 1 + 6 + 122 + 5 + 1 + 522 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 161225152236.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33663330 + ... + 33668118.

It is an arithmetic number, because the mean of its divisors is an integer number (2934411480).

Almost surely, 2161225152236 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 161225152236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211277626560).

161225152236 is an abundant number, since it is smaller than the sum of its proper divisors (261330100884).

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

161225152236 is a wasteful number, since it uses less digits than its factorization.

161225152236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5139 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 161225152236 its reverse (632251522161), we get a palindrome (793476674397).

The spelling of 161225152236 in words is "one hundred sixty-one billion, two hundred twenty-five million, one hundred fifty-two thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 101 141 188 197 202 282 303 394 404 423 564 591 606 788 846 909 1182 1212 1692 1773 1818 2364 3546 3636 4747 4789 7092 9259 9494 9578 14241 14367 18518 18988 19156 19897 27777 28482 28734 37036 39794 42723 43101 55554 56964 57468 59691 79588 83331 85446 86202 111108 119382 166662 170892 172404 179073 225083 238764 333324 358146 450166 483689 675249 716292 900332 935159 943433 967378 1350498 1451067 1870318 1886866 1934756 2025747 2700996 2805477 2830299 2902134 3740636 3773732 4051494 4353201 5610954 5660598 5804268 8102988 8416431 8490897 8706402 11221908 11321196 16832862 16981794 17412804 22733383 33665724 33963588 44341351 45466766 68200149 88682702 90933532 95286733 133024053 136400298 177365404 190573466 204600447 266048106 272800596 285860199 381146932 399072159 409200894 532096212 571720398 798144318 818401788 857580597 1143440796 1596288636 1715161194 3430322388 4478476451 8956952902 13435429353 17913905804 26870858706 40306288059 53741717412 80612576118 161225152236