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122064216 = 23317417297
BaseRepresentation
bin1110100011010…
…00110101011000
322111200111121220
413101220311120
5222222023331
620040132040
73011346231
oct721506530
9274614556
10122064216
11629a171a
1234a67020
131c39a661
14122d6088
15aab2296
hex7468d58

122064216 has 64 divisors (see below), whose sum is σ = 331037280. Its totient is φ = 37355520.

The previous prime is 122064211. The next prime is 122064251. The reversal of 122064216 is 612460221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122064211) 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 15 ways as a sum of consecutive naturals, for example, 13080 + ... + 20376.

Almost surely, 2122064216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122064216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165518640).

122064216 is an abundant number, since it is smaller than the sum of its proper divisors (208973064).

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

122064216 is a wasteful number, since it uses less digits than its factorization.

122064216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7364 (or 7360 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 122064216 is about 11048.2675564995. The cubic root of 122064216 is about 496.0545703920.

The spelling of 122064216 in words is "one hundred twenty-two million, sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 408 492 697 984 1394 2091 2788 4182 5576 7297 8364 14594 16728 21891 29188 43782 58376 87564 124049 175128 248098 299177 372147 496196 598354 744294 897531 992392 1196708 1488588 1795062 2393416 2977176 3590124 5086009 7180248 10172018 15258027 20344036 30516054 40688072 61032108 122064216