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102233472 = 2731124203
BaseRepresentation
bin1100001011111…
…11010110000000
321010100222221220
412011333112000
5202132432342
614051115040
72350653525
oct605772600
9233328856
10102233472
1152787580
122a2a2a80
13182462a3
14d81314c
158e965ec
hex617f580

102233472 has 64 divisors (see below), whose sum is σ = 296256960. Its totient is φ = 30978560.

The previous prime is 102233447. The next prime is 102233477. The reversal of 102233472 is 274332201.

It is a tau number, because it is divible by the number of its divisors (64).

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 (102233477) 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 7 ways as a sum of consecutive naturals, for example, 7878 + ... + 16325.

It is an arithmetic number, because the mean of its divisors is an integer number (4629015).

Almost surely, 2102233472 is an apocalyptic number.

102233472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102233472 is an abundant number, since it is smaller than the sum of its proper divisors (194023488).

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

102233472 is a wasteful number, since it uses less digits than its factorization.

102233472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24231 (or 24219 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 102233472 is about 10111.0569180477. The cubic root of 102233472 is about 467.5890907069.

Adding to 102233472 its reverse (274332201), we get a palindrome (376565673).

It can be divided in two parts, 10223 and 3472, that added together give a triangular number (13695 = T165).

The spelling of 102233472 in words is "one hundred two million, two hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 24203 48406 72609 96812 145218 193624 266233 290436 387248 532466 580872 774496 798699 1064932 1161744 1548992 1597398 2129864 2323488 3097984 3194796 4259728 4646976 6389592 8519456 9293952 12779184 17038912 25558368 34077824 51116736 102233472