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196220232 = 23341323293
BaseRepresentation
bin10111011001000…
…01010101001000
3111200020000120000
423230201111020
5400213021412
631245403000
74601562435
oct1354412510
9450200500
10196220232
11a084118a
1255869460
1331862a60
141c0bab8c
151235e4dc
hexbb21548

196220232 has 80 divisors (see below), whose sum is σ = 591900540. Its totient is φ = 60372864.

The previous prime is 196220231. The next prime is 196220237. The reversal of 196220232 is 232022691.

196220232 is a `hidden beast` number, since 1 + 9 + 622 + 0 + 2 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 151142436 + 45077796 = 12294^2 + 6714^2 .

It is a super-2 number, since 2×1962202322 = 77004758892267648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 196220196 and 196220205.

It is not an unprimeable number, because it can be changed into a prime (196220231) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3223 + ... + 20070.

Almost surely, 2196220232 is an apocalyptic number.

196220232 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 196220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295950270).

196220232 is an abundant number, since it is smaller than the sum of its proper divisors (395680308).

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

196220232 is a wasteful number, since it uses less digits than its factorization.

196220232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23324 (or 23311 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 196220232 is about 14007.8632203488. The cubic root of 196220232 is about 581.0960566304.

The spelling of 196220232 in words is "one hundred ninety-six million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 23293 46586 69879 93172 139758 186344 209637 279516 302809 419274 559032 605618 628911 838548 908427 1211236 1257822 1677096 1816854 1886733 2422472 2515644 2725281 3633708 3773466 5031288 5450562 7267416 7546932 8175843 10901124 15093864 16351686 21802248 24527529 32703372 49055058 65406744 98110116 196220232