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22048498944 = 28338093943
BaseRepresentation
bin10100100010001100…
…010110010100000000
32002220121010210112000
4110202030112110000
5330123403431234
614043503504000
71410245102013
oct244214262400
962817123460
1022048498944
11939489165a
124333bb8000
132104c030a4
1410d23a737a
15890a0d899
hex522316500

22048498944 has 144 divisors (see below), whose sum is σ = 65298441600. Its totient is φ = 7338553344.

The previous prime is 22048498939. The next prime is 22048498951. The reversal of 22048498944 is 44989484022.

It is a happy number.

22048498944 is a `hidden beast` number, since 2 + 20 + 48 + 498 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×220484989442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5589837 + ... + 5593779.

It is an arithmetic number, because the mean of its divisors is an integer number (453461400).

Almost surely, 222048498944 is an apocalyptic number.

22048498944 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 22048498944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32649220800).

22048498944 is an abundant number, since it is smaller than the sum of its proper divisors (43249942656).

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

22048498944 is an equidigital number, since it uses as much as digits as its factorization.

22048498944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 22048498944 in words is "twenty-two billion, forty-eight million, four hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 809 864 1152 1618 1728 2304 2427 3236 3456 3943 4854 6472 6912 7281 7886 9708 11829 12944 14562 15772 19416 21843 23658 25888 29124 31544 35487 38832 43686 47316 51776 58248 63088 70974 77664 87372 94632 103552 106461 116496 126176 141948 155328 174744 189264 207104 212922 232992 252352 283896 310656 349488 378528 425844 465984 504704 567792 621312 698976 757056 851688 931968 1009408 1135584 1397952 1514112 1703376 1863936 2271168 2795904 3028224 3189887 3406752 4542336 5591808 6379774 6813504 9084672 9569661 12759548 13627008 19139322 25519096 27254016 28708983 38278644 51038192 57417966 76557288 86126949 102076384 114835932 153114576 172253898 204152768 229671864 306229152 344507796 408305536 459343728 612458304 689015592 816611072 918687456 1224916608 1378031184 1837374912 2449833216 2756062368 3674749824 5512124736 7349499648 11024249472 22048498944