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102232000 = 265313983
BaseRepresentation
bin1100001011111…
…10111111000000
321010100220221101
412011332333000
5202132411000
614051104144
72350646323
oct605767700
9233326841
10102232000
1152786462
122a2a2054
1318245710
14d8127ba
158e95e6a
hex617efc0

102232000 has 112 divisors (see below), whose sum is σ = 272930112. Its totient is φ = 37708800.

The previous prime is 102231991. The next prime is 102232001. The reversal of 102232000 is 232201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102232001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103509 + ... + 104491.

It is an arithmetic number, because the mean of its divisors is an integer number (2436876).

Almost surely, 2102232000 is an apocalyptic number.

102232000 is a gapful number since it is divisible by the number (10) 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 102232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136465056).

102232000 is an abundant number, since it is smaller than the sum of its proper divisors (170698112).

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

102232000 is an equidigital number, since it uses as much as digits as its factorization.

102232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 102232000 is about 10110.9841261867. The cubic root of 102232000 is about 467.5868465155.

Adding to 102232000 its reverse (232201), we get a palindrome (102464201).

The spelling of 102232000 in words is "one hundred two million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 650 800 832 983 1000 1040 1300 1600 1625 1966 2000 2080 2600 3250 3932 4000 4160 4915 5200 6500 7864 8000 9830 10400 12779 13000 15728 19660 20800 24575 25558 26000 31456 39320 49150 51116 52000 62912 63895 78640 98300 102232 104000 122875 127790 157280 196600 204464 245750 255580 314560 319475 393200 408928 491500 511160 638950 786400 817856 983000 1022320 1277900 1572800 1597375 1966000 2044640 2555800 3194750 3932000 4089280 5111600 6389500 7864000 10223200 12779000 20446400 25558000 51116000 102232000