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190220712 = 233112312113
BaseRepresentation
bin10110101011010…
…00100110101000
3111020221012202120
423111220212220
5342144030322
630513031240
74466564223
oct1325504650
9436835676
10190220712
1198413700
1253855520
1330542046
141b3985ba
1511a76a5c
hexb5689a8

190220712 has 96 divisors (see below), whose sum is σ = 539831040. Its totient is φ = 55756800.

The previous prime is 190220677. The next prime is 190220713. The reversal of 190220712 is 217022091.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190220713) 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 23 ways as a sum of consecutive naturals, for example, 88968 + ... + 91080.

It is an arithmetic number, because the mean of its divisors is an integer number (5623240).

Almost surely, 2190220712 is an apocalyptic number.

190220712 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 190220712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269915520).

190220712 is an abundant number, since it is smaller than the sum of its proper divisors (349610328).

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

190220712 is a wasteful number, since it uses less digits than its factorization.

190220712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 190220712 is about 13792.0524940996. The cubic root of 190220712 is about 575.1122271177.

The spelling of 190220712 in words is "one hundred ninety million, two hundred twenty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 121 124 132 186 242 248 264 341 363 372 484 682 726 744 968 1023 1364 1452 2046 2113 2728 2904 3751 4092 4226 6339 7502 8184 8452 11253 12678 15004 16904 22506 23243 25356 30008 45012 46486 50712 65503 69729 90024 92972 131006 139458 185944 196509 255673 262012 278916 393018 511346 524024 557832 720533 767019 786036 1022692 1441066 1534038 1572072 2045384 2161599 2882132 3068076 4323198 5764264 6136152 7925863 8646396 15851726 17292792 23777589 31703452 47555178 63406904 95110356 190220712