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22304120064 = 283193149307
BaseRepresentation
bin10100110001011011…
…011101110100000000
32010120102010200202220
4110301123131310000
5331134323320224
614125114411040
71416500615052
oct246133356400
963512120686
1022304120064
119506104586
1243a5730a80
132145b631a5
1411183078d2
158a81a3279
hex5316ddd00

22304120064 has 144 divisors (see below), whose sum is σ = 64502753280. Its totient is φ = 6816061440.

The previous prime is 22304120051. The next prime is 22304120087. The reversal of 22304120064 is 46002140322.

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

It is a congruent number.

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, 427699 + ... + 477005.

Almost surely, 222304120064 is an apocalyptic number.

22304120064 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 22304120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32251376640).

22304120064 is an abundant number, since it is smaller than the sum of its proper divisors (42198633216).

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

22304120064 is a wasteful number, since it uses less digits than its factorization.

22304120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49376 (or 49362 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22304120064 its reverse (46002140322), we get a palindrome (68306260386).

The spelling of 22304120064 in words is "twenty-two billion, three hundred four million, one hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 256 304 372 384 456 496 589 608 744 768 912 992 1178 1216 1488 1767 1824 1984 2356 2432 2976 3534 3648 3968 4712 4864 5952 7068 7296 7936 9424 11904 14136 14592 18848 23808 28272 37696 49307 56544 75392 98614 113088 147921 150784 197228 226176 295842 394456 452352 591684 788912 936833 1183368 1528517 1577824 1873666 2366736 2810499 3057034 3155648 3747332 4585551 4733472 5620998 6114068 6311296 7494664 9171102 9466944 11241996 12228136 12622592 14989328 18342204 18933888 22483992 24456272 29041823 29978656 36684408 37867776 44967984 48912544 58083646 59957312 73368816 87125469 89935968 97825088 116167292 119914624 146737632 174250938 179871936 195650176 232334584 239829248 293475264 348501876 359743872 391300352 464669168 586950528 697003752 719487744 929338336 1173901056 1394007504 1858676672 2788015008 3717353344 5576030016 7434706688 11152060032 22304120064