Search a number
-
+
151122664 = 237211101347
BaseRepresentation
bin10010000000111…
…11001011101000
3101112100211022201
421000133023220
5302141411124
622555025544
73513343600
oct1100371350
9345324281
10151122664
1178339770
124273b2b4
1325402bc4
14160dbc00
15d402144
hex901f2e8

151122664 has 96 divisors (see below), whose sum is σ = 364188960. Its totient is φ = 58128000.

The previous prime is 151122619. The next prime is 151122691. The reversal of 151122664 is 466221151.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435339 + ... + 435685.

It is an arithmetic number, because the mean of its divisors is an integer number (3793635).

Almost surely, 2151122664 is an apocalyptic number.

151122664 is a gapful number since it is divisible by the number (14) 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 151122664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182094480).

151122664 is an abundant number, since it is smaller than the sum of its proper divisors (213066296).

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

151122664 is a wasteful number, since it uses less digits than its factorization.

151122664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 151122664 is about 12293.1958416028. The cubic root of 151122664 is about 532.6515562645.

The spelling of 151122664 in words is "one hundred fifty-one million, one hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 101 154 196 202 308 347 392 404 539 616 694 707 808 1078 1111 1388 1414 2156 2222 2429 2776 2828 3817 4312 4444 4858 4949 5656 7634 7777 8888 9716 9898 15268 15554 17003 19432 19796 26719 30536 31108 34006 35047 39592 53438 54439 62216 68012 70094 106876 108878 136024 140188 187033 213752 217756 245329 280376 374066 385517 435512 490658 748132 771034 981316 1496264 1542068 1717303 1962632 2698619 3084136 3434606 5397238 6869212 10794476 13738424 18890333 21588952 37780666 75561332 151122664