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22480706352 = 243131132111511
BaseRepresentation
bin10100111011111101…
…000101101100110000
32011000201102012121210
4110323331011230300
5332020030100402
614154423320120
71424043564636
oct247375055460
964021365553
1022480706352
119596855465
1244348b0040
132173610310
141133953356
158b893506c
hex53bf45b30

22480706352 has 160 divisors (see below), whose sum is σ = 63436939776. Its totient is φ = 6818918400.

The previous prime is 22480706341. The next prime is 22480706389. The reversal of 22480706352 is 25360708422.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 22480706352.

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 31 ways as a sum of consecutive naturals, for example, 14877277 + ... + 14878787.

Almost surely, 222480706352 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 22480706352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31718469888).

22480706352 is an abundant number, since it is smaller than the sum of its proper divisors (40956233424).

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

22480706352 is a wasteful number, since it uses less digits than its factorization.

22480706352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 22480706352 in words is "twenty-two billion, four hundred eighty million, seven hundred six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 113 156 208 211 226 312 339 422 452 624 633 678 844 904 1266 1356 1469 1511 1688 1808 2532 2712 2743 2938 3022 3376 4407 4533 5064 5424 5486 5876 6044 8229 8814 9066 10128 10972 11752 12088 16458 17628 18132 19643 21944 23504 23843 24176 32916 35256 36264 39286 43888 47686 58929 65832 70512 71529 72528 78572 95372 117858 131664 143058 157144 170743 190744 235716 286116 309959 314288 318821 341486 381488 471432 512229 572232 619918 637642 682972 929877 942864 956463 1024458 1144464 1239836 1275284 1365944 1859754 1912926 2048916 2219659 2479672 2550568 2731888 3719508 3825852 4097832 4144673 4439318 4959344 5101136 6658977 7439016 7651704 8195664 8289346 8878636 12434019 13317954 14878032 15303408 16578692 17757272 24868038 26635908 33157384 35514544 36026773 49736076 53271816 66314768 72053546 99472152 106543632 108080319 144107092 198944304 216160638 288214184 432321276 468348049 576428368 864642552 936696098 1405044147 1729285104 1873392196 2810088294 3746784392 5620176588 7493568784 11240353176 22480706352