Search a number
-
+
31172233328 = 24177910913309
BaseRepresentation
bin11101000010000000…
…101000100001110000
32222110110001112012022
4131002000220201300
51002320042431303
622153105051012
72152322416505
oct350200504160
988413045168
1031172233328
1112246a05305
12605b626a68
132c2a1b6ca2
141719dcb4ac
15c269cc438
hex742028870

31172233328 has 80 divisors (see below), whose sum is σ = 65357424000. Its totient is φ = 14349643776.

The previous prime is 31172233327. The next prime is 31172233331. The reversal of 31172233328 is 82333227113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31172233327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2335538 + ... + 2348846.

It is an arithmetic number, because the mean of its divisors is an integer number (816967800).

Almost surely, 231172233328 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 31172233328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32678712000).

31172233328 is an abundant number, since it is smaller than the sum of its proper divisors (34185190672).

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

31172233328 is a wasteful number, since it uses less digits than its factorization.

31172233328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13522 (or 13516 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The spelling of 31172233328 in words is "thirty-one billion, one hundred seventy-two million, two hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 79 109 136 158 218 272 316 436 632 872 1264 1343 1744 1853 2686 3706 5372 7412 8611 10744 13309 14824 17222 21488 26618 29648 34444 53236 68888 106472 137776 146387 212944 226253 292774 452506 585548 905012 1051411 1171096 1450681 1810024 2102822 2342192 2901362 3620048 4205644 5802724 8411288 11605448 16822576 17873987 23210896 24661577 35747974 49323154 71495948 98646308 114603799 142991896 197292616 229207598 285983792 394585232 458415196 916830392 1833660784 1948264583 3896529166 7793058332 15586116664 31172233328