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2102192 = 24375367
BaseRepresentation
bin1000000001001110110000
310221210122222
420001032300
51014232232
6113020212
723603561
oct10011660
93853588
102102192
111206454
12854668
13587b01
143ca168
152b7d12
hex2013b0

2102192 has 40 divisors (see below), whose sum is σ = 4325616. Its totient is φ = 988416.

The previous prime is 2102183. The next prime is 2102201. The reversal of 2102192 is 2912012.

It is an interprime number because it is at equal distance from previous prime (2102183) and next prime (2102201).

It is a super-2 number, since 2×21021922 = 8838422409728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2102192.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31343 + ... + 31409.

22102192 is an apocalyptic number.

2102192 is the 1184-th pentagonal number.

It is an amenable number.

2102192 is an abundant number, since it is smaller than the sum of its proper divisors (2223424).

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

2102192 is a wasteful number, since it uses less digits than its factorization.

2102192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2102192 is about 1449.8937892135. The cubic root of 2102192 is about 128.1024570293.

It can be divided in two parts, 210 and 2192, that multiplied together give a triangular number (460320 = T959).

The spelling of 2102192 in words is "two million, one hundred two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 37 53 67 74 106 134 148 212 268 296 424 536 592 848 1072 1961 2479 3551 3922 4958 7102 7844 9916 14204 15688 19832 28408 31376 39664 56816 131387 262774 525548 1051096 2102192