Search a number
-
+
152257321980 = 223255322371569
BaseRepresentation
bin1000110111001100111…
…1100101101111111100
3112120000002000100111100
42031303033211233330
54443310333300410
6153540202453100
714000035611621
oct2156317455774
9476002010440
10152257321980
115963231a605
1225612804190
1311486130b3a
1475254b0348
153e61d708c0
hex23733e5bfc

152257321980 has 144 divisors (see below), whose sum is σ = 472678053120. Its totient is φ = 39656687616.

The previous prime is 152257321943. The next prime is 152257321999. The reversal of 152257321980 is 89123752251.

152257321980 is a `hidden beast` number, since 1 + 52 + 2 + 573 + 21 + 9 + 8 + 0 = 666.

It is a super-2 number, since 2×1522573219802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2091636 + ... + 2163204.

It is an arithmetic number, because the mean of its divisors is an integer number (3282486480).

Almost surely, 2152257321980 is an apocalyptic number.

152257321980 is a gapful number since it is divisible by the number (10) 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 152257321980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236339026560).

152257321980 is an abundant number, since it is smaller than the sum of its proper divisors (320420731140).

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

152257321980 is a wasteful number, since it uses less digits than its factorization.

152257321980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71860 (or 71855 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 152257321980 in words is "one hundred fifty-two billion, two hundred fifty-seven million, three hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 223 265 318 446 477 530 636 669 795 892 954 1060 1115 1338 1590 1908 2007 2230 2385 2676 3180 3345 4014 4460 4770 6690 8028 9540 10035 11819 13380 20070 23638 35457 40140 47276 59095 70914 71569 106371 118190 141828 143138 177285 212742 214707 236380 286276 354570 357845 425484 429414 531855 644121 709140 715690 858828 1063710 1073535 1288242 1431380 2127420 2147070 2576484 3220605 3793157 4294140 6441210 7586314 11379471 12882420 15172628 15959887 18965785 22758942 31919774 34138413 37931570 45517884 47879661 56897355 63839548 68276826 75863140 79799435 95759322 113794710 136553652 143638983 159598870 170692065 191518644 227589420 239398305 287277966 319197740 341384130 478796610 574555932 682768260 718194915 845874011 957593220 1436389830 1691748022 2537622033 2872779660 3383496044 4229370055 5075244066 7612866099 8458740110 10150488132 12688110165 15225732198 16917480220 25376220330 30451464396 38064330495 50752440660 76128660990 152257321980