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196265232 = 2432472617
BaseRepresentation
bin10111011001011…
…00010100010000
3111200022022021200
423230230110100
5400220441412
631250351200
74602140562
oct1354542420
9450268250
10196265232
11a0871a79
125588b500
133187a397
141c0cd332
151236c9dc
hexbb2c510

196265232 has 90 divisors (see below), whose sum is σ = 562114878. Its totient is φ = 63926016.

The previous prime is 196265227. The next prime is 196265257. The reversal of 196265232 is 232562691.

196265232 is a `hidden beast` number, since 1 + 9 + 626 + 5 + 23 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114832656 + 81432576 = 10716^2 + 9024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 317788 + ... + 318404.

Almost surely, 2196265232 is an apocalyptic number.

196265232 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 196265232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281057439).

196265232 is an abundant number, since it is smaller than the sum of its proper divisors (365849646).

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

196265232 is a wasteful number, since it uses less digits than its factorization.

196265232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 669 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 196265232 is about 14009.4693689661. The cubic root of 196265232 is about 581.1404749583.

The spelling of 196265232 in words is "one hundred ninety-six million, two hundred sixty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 617 752 846 1128 1234 1692 1851 2209 2256 2468 3384 3702 4418 4936 5553 6627 6768 7404 8836 9872 11106 13254 14808 17672 19881 22212 26508 28999 29616 35344 39762 44424 53016 57998 79524 86997 88848 106032 115996 159048 173994 231992 260991 318096 347988 463984 521982 695976 1043964 1362953 1391952 2087928 2725906 4088859 4175856 5451812 8177718 10903624 12266577 16355436 21807248 24533154 32710872 49066308 65421744 98132616 196265232