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22631012352 = 211321394447
BaseRepresentation
bin10101000100111010…
…011101100000000000
32011102012020112200200
4111010322131200000
5332322014343402
614221353045200
71430550300564
oct250472354000
964365215620
1022631012352
1196636865a3
1244770b6800
1321987b8590
1411498bb6a4
158c6c2521c
hex544e9d800

22631012352 has 144 divisors (see below), whose sum is σ = 70391149920. Its totient is φ = 6963314688.

The previous prime is 22631012333. The next prime is 22631012377. The reversal of 22631012352 is 25321013622.

It is a happy number.

22631012352 is a `hidden beast` number, since 2 + 2 + 631 + 0 + 1 + 23 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192393 + ... + 286839.

It is an arithmetic number, because the mean of its divisors is an integer number (488827430).

Almost surely, 222631012352 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 22631012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35195574960).

22631012352 is an abundant number, since it is smaller than the sum of its proper divisors (47760137568).

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

22631012352 is a wasteful number, since it uses less digits than its factorization.

22631012352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94488 (or 94465 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 22631012352 its reverse (25321013622), we get a palindrome (47952025974).

The spelling of 22631012352 in words is "twenty-two billion, six hundred thirty-one million, twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4608 4992 6144 6656 7488 9216 9984 13312 14976 18432 19968 26624 29952 39936 59904 79872 94447 119808 188894 239616 283341 377788 566682 755576 850023 1133364 1227811 1511152 1700046 2266728 2455622 3022304 3400092 3683433 4533456 4911244 6044608 6800184 7366866 9066912 9822488 11050299 12089216 13600368 14733732 18133824 19644976 22100598 24178432 27200736 29467464 36267648 39289952 44201196 48356864 54401472 58934928 72535296 78579904 88402392 96713728 108802944 117869856 145070592 157159808 176804784 193427456 217605888 235739712 290141184 314319616 353609568 435211776 471479424 580282368 628639232 707219136 870423552 942958848 1257278464 1414438272 1740847104 1885917696 2514556928 2828876544 3771835392 5657753088 7543670784 11315506176 22631012352