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20233112004 = 22327227577613
BaseRepresentation
bin10010110101111111…
…001100100111000100
31221020002011120210200
4102311333030213010
5312414134041004
613143413450500
71314252420510
oct226577144704
957202146720
1020233112004
118643078576
123b08040a30
131ba5a86531
14d9d247140
157d6466239
hex4b5fcc9c4

20233112004 has 144 divisors (see below), whose sum is σ = 58906393728. Its totient is φ = 5736075264.

The previous prime is 20233111991. The next prime is 20233112033. The reversal of 20233112004 is 40021133202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33006402 + ... + 33007014.

Almost surely, 220233112004 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 20233112004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29453196864).

20233112004 is an abundant number, since it is smaller than the sum of its proper divisors (38673281724).

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

20233112004 is a wasteful number, since it uses less digits than its factorization.

20233112004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20233112004 its reverse (40021133202), we get a palindrome (60254245206).

The spelling of 20233112004 in words is "twenty billion, two hundred thirty-three million, one hundred twelve thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 227 252 454 577 613 681 908 1154 1226 1362 1589 1731 1839 2043 2308 2452 2724 3178 3462 3678 4039 4086 4291 4767 5193 5517 6356 6924 7356 8078 8172 8582 9534 10386 11034 12117 12873 14301 16156 17164 19068 20772 22068 24234 25746 28602 36351 38619 48468 51492 57204 72702 77238 130979 139151 145404 154476 261958 278302 353701 392937 417453 523916 556604 707402 785874 834906 916853 974057 1061103 1178811 1252359 1414804 1571748 1669812 1833706 1948114 2122206 2357622 2475907 2504718 2750559 2922171 3183309 3667412 3896228 4244412 4715244 4951814 5009436 5501118 5844342 6366618 7427721 8251677 8766513 9903628 11002236 11688684 12733236 14855442 16503354 17533026 22283163 29710884 33006708 35066052 44566326 80290127 89132652 160580254 240870381 321160508 481740762 562030889 722611143 963481524 1124061778 1445222286 1686092667 2248123556 2890444572 3372185334 5058278001 6744370668 10116556002 20233112004