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152990220 = 2235109149157
BaseRepresentation
bin10010001111001…
…11001000001100
3101122212201010110
421013213020030
5303131141340
623103040020
73535252425
oct1107471014
9348781113
10152990220
11793a48a9
12432a0010
1325907c76
141646664c
15d670680
hex91e720c

152990220 has 96 divisors (see below), whose sum is σ = 437976000. Its totient is φ = 39896064.

The previous prime is 152990219. The next prime is 152990221. The reversal of 152990220 is 22099251.

It is an interprime number because it is at equal distance from previous prime (152990219) and next prime (152990221).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (152990221) 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, 974382 + ... + 974538.

It is an arithmetic number, because the mean of its divisors is an integer number (4562250).

Almost surely, 2152990220 is an apocalyptic number.

152990220 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 152990220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218988000).

152990220 is an abundant number, since it is smaller than the sum of its proper divisors (284985780).

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

152990220 is a wasteful number, since it uses less digits than its factorization.

152990220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 152990220 is about 12368.9215374664. The cubic root of 152990220 is about 534.8367277708.

It can be divided in two parts, 15 and 2990220, that added together give a triangular number (2990235 = T2445).

The spelling of 152990220 in words is "one hundred fifty-two million, nine hundred ninety thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 149 157 218 298 314 327 436 447 471 545 596 628 654 745 785 894 942 1090 1308 1490 1570 1635 1788 1884 2180 2235 2355 2980 3140 3270 4470 4710 6540 8940 9420 16241 17113 23393 32482 34226 46786 48723 51339 64964 68452 70179 81205 85565 93572 97446 102678 116965 140358 162410 171130 194892 205356 233930 243615 256695 280716 324820 342260 350895 467860 487230 513390 701790 974460 1026780 1403580 2549837 5099674 7649511 10199348 12749185 15299022 25498370 30598044 38247555 50996740 76495110 152990220