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31212230224 = 24723891091249
BaseRepresentation
bin11101000100011001…
…001101011001010000
32222120020022120121211
4131010121031121100
51002410312331344
622201054225504
72153316402520
oct350431153120
988506276554
1031212230224
111226754359a
126070ab5294
132c3557c2a6
14172143d680
15c2a27d334
hex74464d650

31212230224 has 160 divisors (see below), whose sum is σ = 73656000000. Its totient is φ = 12525207552.

The previous prime is 31212230207. The next prime is 31212230263. The reversal of 31212230224 is 42203221213.

It is a junction number, because it is equal to n+sod(n) for n = 31212230195 and 31212230204.

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, 24989152 + ... + 24990400.

It is an arithmetic number, because the mean of its divisors is an integer number (460350000).

Almost surely, 231212230224 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 31212230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828000000).

31212230224 is an abundant number, since it is smaller than the sum of its proper divisors (42443769776).

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

31212230224 is a wasteful number, since it uses less digits than its factorization.

31212230224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 31212230224 its reverse (42203221213), we get a palindrome (73415451437).

The spelling of 31212230224 in words is "thirty-one billion, two hundred twelve million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 89 92 109 112 161 178 184 218 322 356 368 436 623 644 712 763 872 1246 1249 1288 1424 1526 1744 2047 2492 2498 2507 2576 3052 4094 4984 4996 5014 6104 8188 8743 9701 9968 9992 10028 12208 14329 16376 17486 17549 19402 19984 20056 28658 28727 32752 34972 35098 38804 40112 57316 57454 67907 69944 70196 77608 111161 114632 114908 135814 136141 139888 140392 155216 201089 222322 223123 229264 229816 271628 272282 280784 402178 444644 446246 459632 543256 544564 778127 804356 889288 892492 952987 1086512 1089128 1556254 1561861 1608712 1778576 1784984 1905974 2178256 2556703 3112508 3123722 3131243 3217424 3569968 3811948 5113406 6225016 6247444 6262486 7623896 10226812 12116549 12450032 12494888 12524972 15247792 17896921 20453624 21918701 24233098 24989776 25049944 35793842 40907248 43837402 48466196 50099888 71587684 84815843 87674804 96932392 143175368 169631686 175349608 193864784 278680627 286350736 339263372 350699216 557361254 678526744 1114722508 1357053488 1950764389 2229445016 3901528778 4458890032 7803057556 15606115112 31212230224