Search a number
-
+
22295165093032 = 231383137149912577
BaseRepresentation
bin1010001000110111111110…
…11001010100010010101000
32220221101201101111122212111
411010123333121110102220
510410240444230434112
6115230131335252104
74460525655305536
oct504337731242250
986841641448774
1022295165093032
117116365508a37
122600b5181a034
13c5956aa9cac0
1457113da85156
15289e35d2c5a7
hex1446ff6544a8

22295165093032 has 128 divisors (see below), whose sum is σ = 45928315440000. Its totient is φ = 10084359979008.

The previous prime is 22295165093027. The next prime is 22295165093059. The reversal of 22295165093032 is 23039056159222.

It is a super-3 number, since 3×222951650930323 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772687128 + ... + 1772699704.

It is an arithmetic number, because the mean of its divisors is an integer number (358814964375).

Almost surely, 222295165093032 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 22295165093032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22964157720000).

22295165093032 is an abundant number, since it is smaller than the sum of its proper divisors (23633150346968).

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

22295165093032 is a wasteful number, since it uses less digits than its factorization.

22295165093032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14315 (or 14311 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 49.

The spelling of 22295165093032 in words is "twenty-two trillion, two hundred ninety-five billion, one hundred sixty-five million, ninety-three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 83 104 137 166 274 332 548 664 1079 1096 1499 1781 2158 2998 3562 4316 5996 7124 8632 11371 11992 12577 14248 19487 22742 25154 38974 45484 50308 77948 90968 100616 124417 147823 155896 163501 205363 248834 295646 327002 410726 497668 591292 654004 821452 995336 1043891 1182584 1308008 1617421 1642904 1723049 2087782 2669719 3234842 3446098 4175564 5339438 6469684 6892196 8351128 10678876 12939368 13570583 13784392 17045129 18852923 21357752 22399637 27141166 34090258 37705846 44799274 54282332 68180516 75411692 89598548 108564664 136361032 143013067 150823384 179197096 221586677 245087999 286026134 443173354 490175998 572052268 886346708 980351996 1144104536 1564792609 1772693416 1859169871 1960703992 2582850451 3129585218 3718339742 5165700902 6259170436 7436679484 10331401804 12518340872 14873358968 20342303917 20662803608 33577055863 40684607834 67154111726 81369215668 134308223452 162738431336 214376587433 268616446904 428753174866 857506349732 1715012699464 2786895636629 5573791273258 11147582546516 22295165093032