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22133310144 = 2631116196473
BaseRepresentation
bin10100100111001111…
…111000001011000000
32010010111201122121120
4110213033320023000
5330312111411034
614100133352240
71412325014001
oct244717701300
963114648546
1022133310144
119428749560
124358498680
13211965932a
1410dd7631a8
158981b2c49
hex5273f82c0

22133310144 has 112 divisors (see below), whose sum is σ = 63934116480. Its totient is φ = 6701885440.

The previous prime is 22133310137. The next prime is 22133310161. The reversal of 22133310144 is 44101333122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3416092 + ... + 3422564.

Almost surely, 222133310144 is an apocalyptic number.

22133310144 is a gapful number since it is divisible by the number (24) 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 22133310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31967058240).

22133310144 is an abundant number, since it is smaller than the sum of its proper divisors (41800806336).

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

22133310144 is a wasteful number, since it uses less digits than its factorization.

22133310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8118 (or 8108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22133310144 its reverse (44101333122), we get a palindrome (66234643266).

The spelling of 22133310144 in words is "twenty-two billion, one hundred thirty-three million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1619 2112 3238 4857 6473 6476 9714 12946 12952 17809 19419 19428 25892 25904 35618 38838 38856 51784 51808 53427 71203 71236 77676 77712 103568 103616 106854 142406 142472 155352 155424 207136 213609 213708 284812 284944 310704 310848 414272 427218 427416 569624 569888 621408 854436 854832 1139248 1139776 1242816 1708872 1709664 2278496 3417744 3419328 4556992 6835488 10479787 13670976 20959574 31439361 41919148 62878722 83838296 115277657 125757444 167676592 230555314 251514888 335353184 345832971 461110628 503029776 670706368 691665942 922221256 1006059552 1383331884 1844442512 2012119104 2766663768 3688885024 5533327536 7377770048 11066655072 22133310144