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122572428 = 223112347859
BaseRepresentation
bin1110100111001…
…00111010001100
322112122022202120
413103210322030
5222334304203
620055052540
73015564006
oct723447214
9275568676
10122572428
1163209530
1235071150
131c517a84
14123c9376
15ab62b53
hex74e4e8c

122572428 has 96 divisors (see below), whose sum is σ = 332881920. Its totient is φ = 34731840.

The previous prime is 122572421. The next prime is 122572433. The reversal of 122572428 is 824275221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (122572421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142263 + ... + 143121.

It is an arithmetic number, because the mean of its divisors is an integer number (3467520).

Almost surely, 2122572428 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 122572428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166440960).

122572428 is an abundant number, since it is smaller than the sum of its proper divisors (210309492).

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

122572428 is a wasteful number, since it uses less digits than its factorization.

122572428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 945 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 122572428 is about 11071.2432906156. The cubic root of 122572428 is about 496.7420550298.

It can be divided in two parts, 12 and 2572428, that multiplied together give a square (30869136 = 55562).

The spelling of 122572428 in words is "one hundred twenty-two million, five hundred seventy-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 47 66 69 92 94 132 138 141 188 253 276 282 506 517 564 759 859 1012 1034 1081 1518 1551 1718 2068 2162 2577 3036 3102 3243 3436 4324 5154 6204 6486 9449 10308 11891 12972 18898 19757 23782 28347 35673 37796 39514 40373 47564 56694 59271 71346 79028 80746 113388 118542 121119 142692 161492 217327 237084 242238 434654 444103 484476 651981 869308 888206 928579 1303962 1332309 1776412 1857158 2607924 2664618 2785737 3714316 5329236 5571474 10214369 11142948 20428738 30643107 40857476 61286214 122572428