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2922160104 = 233361227977
BaseRepresentation
bin1010111000101100…
…1001111111101000
321112122120010002000
42232023021333220
521441033110404
61201544011000
7132261644133
oct25613117750
97478503060
102922160104
11126a535156
12696760a60
1337752c426
141da14321a
1512181a339
hexae2c9fe8

2922160104 has 128 divisors (see below), whose sum is σ = 8295004800. Its totient is φ = 952888320.

The previous prime is 2922160103. The next prime is 2922160121. The reversal of 2922160104 is 4010612292.

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

It is not an unprimeable number, because it can be changed into a prime (2922160103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2990464 + ... + 2991440.

It is an arithmetic number, because the mean of its divisors is an integer number (64804725).

Almost surely, 22922160104 is an apocalyptic number.

2922160104 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 2922160104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147502400).

2922160104 is an abundant number, since it is smaller than the sum of its proper divisors (5372844696).

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

2922160104 is a wasteful number, since it uses less digits than its factorization.

2922160104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2922160104 is about 54057.0079083184. The cubic root of 2922160104 is about 1429.6662634223. Note that the first 3 decimals are identical.

Adding to 2922160104 its reverse (4010612292), we get a palindrome (6932772396).

The spelling of 2922160104 in words is "two billion, nine hundred twenty-two million, one hundred sixty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 227 244 366 454 488 549 681 732 908 977 1098 1362 1464 1647 1816 1954 2043 2196 2724 2931 3294 3908 4086 4392 5448 5862 6129 6588 7816 8172 8793 11724 12258 13176 13847 16344 17586 23448 24516 26379 27694 35172 41541 49032 52758 55388 59597 70344 83082 105516 110776 119194 124623 166164 178791 211032 221779 238388 249246 332328 357582 373869 443558 476776 498492 536373 665337 715164 747738 887116 996984 1072746 1330674 1430328 1495476 1609119 1774232 1996011 2145492 2661348 2990952 3218238 3992022 4290984 5322696 5988033 6436476 7984044 11976066 12872952 13528519 15968088 23952132 27057038 40585557 47904264 54114076 81171114 108228152 121756671 162342228 243513342 324684456 365270013 487026684 730540026 974053368 1461080052 2922160104