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146140722 = 23271326863
BaseRepresentation
bin10001011010111…
…10111000110010
3101011222201101100
420231132320302
5244403000342
622300145230
73423114150
oct1055367062
9334881340
10146140722
1175546762
1240b38216
132437a400
14155a23d0
15cc6ae4c
hex8b5ee32

146140722 has 72 divisors (see below), whose sum is σ = 391906944. Its totient is φ = 38536992.

The previous prime is 146140681. The next prime is 146140739. The reversal of 146140722 is 227041641.

It is a super-2 number, since 2×1461407222 = 42714221253362568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17863 + ... + 24725.

It is an arithmetic number, because the mean of its divisors is an integer number (5443152).

Almost surely, 2146140722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146140722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195953472).

146140722 is an abundant number, since it is smaller than the sum of its proper divisors (245766222).

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

146140722 is a wasteful number, since it uses less digits than its factorization.

146140722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6904 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 146140722 is about 12088.8676889111. The cubic root of 146140722 is about 526.7328645271.

The spelling of 146140722 in words is "one hundred forty-six million, one hundred forty thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 2366 3042 3549 6863 7098 10647 13726 20589 21294 41178 48041 61767 89219 96082 123534 144123 178438 267657 288246 432369 535314 624533 802971 864738 1159847 1249066 1605942 1873599 2319694 3479541 3747198 5620797 6959082 8118929 10438623 11241594 16237858 20877246 24356787 48713574 73070361 146140722