Search a number
-
+
157630212 = 223737487
BaseRepresentation
bin10010110010100…
…11111100000100
3101222121110000000
421121103330010
5310323131322
623350321300
73622556205
oct1131237404
9358543000
10157630212
1180a83a03
1244959230
1326870c1c
1416d135ac
15dc8a3ac
hex9653f04

157630212 has 96 divisors (see below), whose sum is σ = 425770240. Its totient is φ = 51018336.

The previous prime is 157630211. The next prime is 157630219. The reversal of 157630212 is 212036751.

It is a happy number.

157630212 is a `hidden beast` number, since 1 + 5 + 7 + 630 + 21 + 2 = 666.

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 (157630211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323433 + ... + 323919.

Almost surely, 2157630212 is an apocalyptic number.

157630212 is a gapful number since it is divisible by the number (12) 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 157630212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212885120).

157630212 is an abundant number, since it is smaller than the sum of its proper divisors (268140028).

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

157630212 is an equidigital number, since it uses as much as digits as its factorization.

157630212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 157630212 is about 12555.0870964721. The cubic root of 157630212 is about 540.1899331873.

Adding to 157630212 its reverse (212036751), we get a palindrome (369666963).

The spelling of 157630212 in words is "one hundred fifty-seven million, six hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 487 666 729 972 974 999 1332 1458 1461 1948 1998 2187 2916 2922 2997 3996 4374 4383 5844 5994 8748 8766 8991 11988 13149 17532 17982 18019 26298 26973 35964 36038 39447 52596 53946 54057 72076 78894 80919 107892 108114 118341 157788 161838 162171 216228 236682 323676 324342 355023 473364 486513 648684 710046 973026 1065069 1420092 1459539 1946052 2130138 2919078 4260276 4378617 5838156 8757234 13135851 17514468 26271702 39407553 52543404 78815106 157630212