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22114045332 = 22331724316477
BaseRepresentation
bin10100100110000110…
…011000110110010100
32010002011110220021000
4110212012120312110
5330242143422312
614054204423300
71412002166241
oct244606306624
963064426230
1022114045332
119418890625
124351b47b30
132115672732
1410dad8a5c8
15896659adc
hex526198d94

22114045332 has 144 divisors (see below), whose sum is σ = 62323750720. Its totient is φ = 6775985664.

The previous prime is 22114045321. The next prime is 22114045379. The reversal of 22114045332 is 23354041122.

22114045332 is a `hidden beast` number, since 221 + 1 + 404 + 5 + 3 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22114045296 and 22114045305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1333878 + ... + 1350354.

Almost surely, 222114045332 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 22114045332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31161875360).

22114045332 is an abundant number, since it is smaller than the sum of its proper divisors (40209705388).

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

22114045332 is a wasteful number, since it uses less digits than its factorization.

22114045332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16567 (or 16542 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22114045332 its reverse (23354041122), we get a palindrome (45468086454).

The spelling of 22114045332 in words is "twenty-two billion, one hundred fourteen million, forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 43 51 54 68 86 102 108 129 153 172 204 258 289 306 387 459 516 578 612 731 774 867 918 1156 1161 1462 1548 1734 1836 2193 2322 2601 2924 3468 4386 4644 5202 6579 7803 8772 10404 12427 13158 15606 16477 19737 24854 26316 31212 32954 37281 39474 49431 49708 65908 74562 78948 98862 111843 148293 149124 197724 223686 280109 296586 335529 444879 447372 560218 593172 671058 708511 840327 889758 1120436 1342116 1417022 1680654 1779516 2125533 2520981 2834044 3361308 4251066 4761853 5041962 6376599 7562943 8502132 9523706 10083924 12044687 12753198 14285559 15125886 19047412 19129797 24089374 25506396 28571118 30251772 36134061 38259594 42856677 48178748 57142236 72268122 76519188 85713354 108402183 128570031 144536244 171426708 204759679 216804366 257140062 325206549 409519358 433608732 514280124 614279037 650413098 819038716 1228558074 1300826196 1842837111 2457116148 3685674222 5528511333 7371348444 11057022666 22114045332