Search a number
-
+
22237631104 = 271321795743
BaseRepresentation
bin10100101101011101…
…110101001010000000
32010101210000201001211
4110231131311022000
5331020313143404
614114341335504
71415032513513
oct245535651200
963353021054
1022237631104
119481621427
124387407594
132135153800
14110d55ad7a
158a241cb04
hex52d775280

22237631104 has 96 divisors (see below), whose sum is σ = 48247876800. Its totient is φ = 10204406784.

The previous prime is 22237631057. The next prime is 22237631111. The reversal of 22237631104 is 40113673222.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3869257 + ... + 3874999.

It is an arithmetic number, because the mean of its divisors is an integer number (502582050).

Almost surely, 222237631104 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 22237631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24123938400).

22237631104 is an abundant number, since it is smaller than the sum of its proper divisors (26010245696).

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

22237631104 is a wasteful number, since it uses less digits than its factorization.

22237631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 22237631104 in words is "twenty-two billion, two hundred thirty-seven million, six hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 179 208 338 358 416 676 716 832 1352 1432 1664 2327 2704 2864 4654 5408 5728 5743 9308 10816 11456 11486 18616 21632 22912 22972 30251 37232 45944 60502 74464 74659 91888 121004 148928 149318 183776 242008 297856 298636 367552 484016 597272 735104 968032 970567 1027997 1194544 1936064 1941134 2055994 2389088 3872128 3882268 4111988 4778176 7764536 8223976 9556352 13363961 15529072 16447952 26727922 31058144 32895904 53455844 62116288 65791808 106911688 124232576 131583616 173731493 213823376 347462986 427646752 694925972 855293504 1389851944 1710587008 2779703888 5559407776 11118815552 22237631104