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23122098 = 234532693
BaseRepresentation
bin101100000110…
…1000010110010
31121111201120000
41120031002302
521404401343
62143330430
7400351236
oct130150262
947451500
1023122098
1112062a7a
1278b0a16
134a3751c
1430dc5c6
15206aed3
hex160d0b2

23122098 has 40 divisors (see below), whose sum is σ = 52807788. Its totient is φ = 7559136.

The previous prime is 23122097. The next prime is 23122103. The reversal of 23122098 is 89022132.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23011209 + 110889 = 4797^2 + 333^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23122097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7240 + ... + 9932.

Almost surely, 223122098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23122098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26403894).

23122098 is an abundant number, since it is smaller than the sum of its proper divisors (29685690).

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

23122098 is a wasteful number, since it uses less digits than its factorization.

23122098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23122098 is about 4808.5442703588. The cubic root of 23122098 is about 284.8890426798.

The spelling of 23122098 in words is "twenty-three million, one hundred twenty-two thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2693 2862 4293 5386 8079 8586 16158 24237 48474 72711 142729 145422 218133 285458 428187 436266 856374 1284561 2569122 3853683 7707366 11561049 23122098