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225542312512 = 26113722937811
BaseRepresentation
bin1101001000001101011…
…1101001001001000000
3210120011102122121012221
43102003113221021000
512143402313000022
6251340202300424
722203102011266
oct3220327511100
9716142577187
10225542312512
1187719834690
12378657b7714
1318365003a6a
14acb84b6436
155d00a6bcc7
hex34835e9240

225542312512 has 112 divisors (see below), whose sum is σ = 503646765120. Its totient is φ = 99310233600.

The previous prime is 225542312507. The next prime is 225542312531. The reversal of 225542312512 is 215213245522.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5946087 + ... + 5983897.

Almost surely, 2225542312512 is an apocalyptic number.

225542312512 is a gapful number since it is divisible by the number (22) 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 225542312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251823382560).

225542312512 is an abundant number, since it is smaller than the sum of its proper divisors (278104452608).

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

225542312512 is a wasteful number, since it uses less digits than its factorization.

225542312512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38100 (or 38090 counting only the distinct ones).

The product of its digits is 48000, while the sum is 34.

The spelling of 225542312512 in words is "two hundred twenty-five billion, five hundred forty-two million, three hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 148 176 229 296 352 407 458 592 704 814 916 1184 1628 1832 2368 2519 3256 3664 5038 6512 7328 8473 10076 13024 14656 16946 20152 26048 33892 37811 40304 67784 75622 80608 93203 135568 151244 161216 186406 271136 302488 372812 415921 542272 604976 745624 831842 1209952 1399007 1491248 1663684 2419904 2798014 2982496 3327368 5596028 5964992 6654736 8658719 11192056 13309472 15389077 17317438 22384112 26618944 30778154 34634876 44768224 61556308 69269752 89536448 95245909 123112616 138539504 190491818 246225232 277079008 320372603 380983636 492450464 554158016 640745206 761967272 984900928 1281490412 1523934544 2562980824 3047869088 3524098633 5125961648 6095738176 7048197266 10251923296 14096394532 20503846592 28192789064 56385578128 112771156256 225542312512