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122046948 = 22327346441
BaseRepresentation
bin1110100011001…
…00100111100100
322111122121221100
413101210213210
5222221000243
620035520100
73011245002
oct721444744
9274577840
10122046948
116298a751
1234a59030
131c39283a
14122cda72
15aaac0d3
hex74649e4

122046948 has 36 divisors (see below), whose sum is σ = 312740428. Its totient is φ = 40124160.

The previous prime is 122046923. The next prime is 122046949. The reversal of 122046948 is 849640221.

It can be written as a sum of positive squares in 2 ways, for example, as 41370624 + 80676324 = 6432^2 + 8982^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1220469482 = 29790915032229408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122046949) 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 11 ways as a sum of consecutive naturals, for example, 20593 + ... + 25848.

Almost surely, 2122046948 is an apocalyptic number.

122046948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122046948 is an abundant number, since it is smaller than the sum of its proper divisors (190693480).

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

122046948 is a wasteful number, since it uses less digits than its factorization.

122046948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46524 (or 46519 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 122046948 is about 11047.4860488710. The cubic root of 122046948 is about 496.0311775841.

The spelling of 122046948 in words is "one hundred twenty-two million, forty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 46441 92882 139323 185764 278646 417969 557292 835938 1671876 3390193 6780386 10170579 13560772 20341158 30511737 40682316 61023474 122046948