Search a number
-
+
22423530144 = 2531998391399
BaseRepresentation
bin10100111000100010…
…111110101010100000
32010212201211100121110
4110320202332222200
5331410410431034
614145022023320
71422450601311
oct247042765240
963781740543
1022423530144
1195675530a4
124419717b40
132164811742
14112a10c608
158b38ddde9
hex5388beaa0

22423530144 has 96 divisors (see below), whose sum is σ = 59270400000. Its totient is φ = 7422776064.

The previous prime is 22423530137. The next prime is 22423530161. The reversal of 22423530144 is 44103532422.

It is a tau number, because it is divible by the number of its divisors (96).

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, 16027557 + ... + 16028955.

It is an arithmetic number, because the mean of its divisors is an integer number (617400000).

Almost surely, 222423530144 is an apocalyptic number.

22423530144 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 22423530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200000).

22423530144 is an abundant number, since it is smaller than the sum of its proper divisors (36846869856).

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

22423530144 is a wasteful number, since it uses less digits than its factorization.

22423530144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 22423530144 in words is "twenty-two billion, four hundred twenty-three million, five hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 839 1194 1399 1592 1678 2388 2517 2798 3184 3356 4197 4776 5034 5596 6368 6712 8394 9552 10068 11192 13424 16788 19104 20136 22384 26848 33576 40272 44768 67152 80544 134304 166961 278401 333922 500883 556802 667844 835203 1001766 1113604 1173761 1335688 1670406 2003532 2227208 2347522 2671376 3340812 3521283 4007064 4454416 4695044 5342752 6681624 7042566 8014128 8908832 9390088 13363248 14085132 16028256 18780176 26726496 28170264 37560352 56340528 112681056 233578439 467156878 700735317 934313756 1401470634 1868627512 2802941268 3737255024 5605882536 7474510048 11211765072 22423530144