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122058304 = 2613812
BaseRepresentation
bin1110100011001…
…11011001000000
322111200012111221
413101213121000
5222221331204
620040044424
73011323054
oct721473100
9274605457
10122058304
1162998235
1234a63714
131c397a64
14122d3c64
15aab0654
hex7467640

122058304 has 21 divisors (see below), whose sum is σ = 242384961. Its totient is φ = 60984960.

The previous prime is 122058289. The next prime is 122058319. The reversal of 122058304 is 403850221.

The square root of 122058304 is 11048.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (122058289) and next prime (122058319).

It can be written as a sum of positive squares in only one way, i.e., 55472704 + 66585600 = 7448^2 + 8160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 87694 + ... + 89074.

It is an arithmetic number, because the mean of its divisors is an integer number (11542141).

Almost surely, 2122058304 is an apocalyptic number.

122058304 is the 11048-th square number.

It is an amenable number.

122058304 is a deficient number, since it is larger than the sum of its proper divisors (120326657).

122058304 is an frugal number, since it uses more digits than its factorization.

122058304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 122058304 is about 496.0465617059.

Multiplying 122058304 by its sum of digits (25), we get a square (3051457600 = 552402).

The spelling of 122058304 in words is "one hundred twenty-two million, fifty-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 1381 2762 5524 11048 22096 44192 88384 1907161 3814322 7628644 15257288 30514576 61029152 122058304