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22424423420432 = 24112461190113217
BaseRepresentation
bin1010001100101000101111…
…10010101101001000010000
32221101202100121212000221202
411012110113302231020100
510414400204343423212
6115405345442010332
74503053055046235
oct506242762551020
987352317760852
1022424423420432
117166165465500
1226220060469a8
13c687ca1042b7
145774c284978c
1528d49d9db0c2
hex146517cad210

22424423420432 has 120 divisors (see below), whose sum is σ = 47888537109336. Its totient is φ = 10164689920000.

The previous prime is 22424423420359. The next prime is 22424423420549. The reversal of 22424423420432 is 23402432442422.

It can be written as a sum of positive squares in 4 ways, for example, as 1130035456 + 22423293384976 = 33616^2 + 4735324^2 .

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 23 ways as a sum of consecutive naturals, for example, 1696628288 + ... + 1696641504.

Almost surely, 222424423420432 is an apocalyptic number.

22424423420432 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 22424423420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23944268554668).

22424423420432 is an abundant number, since it is smaller than the sum of its proper divisors (25464113688904).

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

22424423420432 is a wasteful number, since it uses less digits than its factorization.

22424423420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15609 (or 15592 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

Adding to 22424423420432 its reverse (23402432442422), we get a palindrome (45826855862854).

The spelling of 22424423420432 in words is "twenty-two trillion, four hundred twenty-four billion, four hundred twenty-three million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 461 484 922 968 1844 1901 1936 3688 3802 5071 7376 7604 10142 13217 15208 20284 20911 26434 30416 40568 41822 52868 55781 81136 83644 105736 111562 145387 167288 211472 223124 230021 290774 334576 446248 460042 581548 876361 892496 920084 1163096 1599257 1752722 1840168 2326192 3198514 3505444 3680336 6093037 6397028 7010888 9639971 12186074 12794056 14021776 19279942 24372148 25125517 25588112 38559884 48744296 50251034 67023407 77119768 97488592 100502068 106039681 134046814 154239536 201004136 212079362 268093628 276380687 402008272 424158724 536187256 552761374 737257477 848317448 1072374512 1105522748 1474514954 1696634896 2211045496 2949029908 3040187557 4422090992 5898059816 6080375114 11582863337 11796119632 12160750228 23165726674 24321500456 46331453348 48643000912 92662906696 127411496707 185325813392 254822993414 509645986828 1019291973656 1401526463777 2038583947312 2803052927554 5606105855108 11212211710216 22424423420432