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22149945408 = 2633111332933
BaseRepresentation
bin10100101000001111…
…010101100001000000
32010011200000210220110
4110220033111201000
5330330341223113
614101530111320
71412616300213
oct245017254100
963150023813
1022149945408
119437080908
124361b7b540
13211cc32096
141101a5377a
1589989bbc3
hex5283d5840

22149945408 has 112 divisors (see below), whose sum is σ = 61032761856. Its totient is φ = 7081697280.

The previous prime is 22149945373. The next prime is 22149945421. The reversal of 22149945408 is 80454994122.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656110 + ... + 689042.

Almost surely, 222149945408 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 22149945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30516380928).

22149945408 is an abundant number, since it is smaller than the sum of its proper divisors (38882816448).

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

22149945408 is a wasteful number, since it uses less digits than its factorization.

22149945408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33092 (or 33082 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 22149945408 in words is "twenty-two billion, one hundred forty-nine million, nine hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 113 124 186 192 226 248 339 372 452 496 678 744 904 992 1356 1488 1808 1984 2712 2976 3503 3616 5424 5952 7006 7232 10509 10848 14012 21018 21696 28024 32933 42036 56048 65866 84072 98799 112096 131732 168144 197598 224192 263464 336288 395196 526928 672576 790392 1020923 1053856 1580784 2041846 2107712 3062769 3161568 3721429 4083692 6125538 6323136 7442858 8167384 11164287 12251076 14885716 16334768 22328574 24502152 29771432 32669536 44657148 49004304 59542864 65339072 89314296 98008608 115364299 119085728 178628592 196017216 230728598 238171456 346092897 357257184 461457196 692185794 714514368 922914392 1384371588 1845828784 2768743176 3691657568 5537486352 7383315136 11074972704 22149945408