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85722100 = 2252857221
BaseRepresentation
bin1010001110000…
…00001111110100
312222022010121121
411013000033310
5133421101400
612301153324
72060424442
oct507001764
9188263547
1085722100
114442a312
122485b844
13149b4a49
14b555b92
1577d421a
hex51c03f4

85722100 has 18 divisors (see below), whose sum is σ = 186017174. Its totient is φ = 34288800.

The previous prime is 85722097. The next prime is 85722107. The reversal of 85722100 is 122758.

It can be written as a sum of positive squares in 3 ways, for example, as 1192464 + 84529636 = 1092^2 + 9194^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85722107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 428511 + ... + 428710.

Almost surely, 285722100 is an apocalyptic number.

It is an amenable number.

85722100 is an abundant number, since it is smaller than the sum of its proper divisors (100295074).

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

85722100 is a wasteful number, since it uses less digits than its factorization.

85722100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857235 (or 857228 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 85722100 is about 9258.6230077696. The cubic root of 85722100 is about 440.9245367008.

Adding to 85722100 its reverse (122758), we get a palindrome (85844858).

The spelling of 85722100 in words is "eighty-five million, seven hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 857221 1714442 3428884 4286105 8572210 17144420 21430525 42861050 85722100