Search a number
-
+
122051356 = 22722572423
BaseRepresentation
bin1110100011001…
…01101100011100
322111122211222121
413101211230130
5222221120411
620035552324
73011263600
oct721455434
9274584877
10122051356
1162992a99
1234a5b6a4
131c39484b
14122d1500
15aaad571
hex7465b1c

122051356 has 36 divisors (see below), whose sum is σ = 249531408. Its totient is φ = 52082688.

The previous prime is 122051299. The next prime is 122051357. The reversal of 122051356 is 653150221.

It is a self number, because there is not a number n which added to its sum of digits gives 122051356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122051357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49161 + ... + 51583.

It is an arithmetic number, because the mean of its divisors is an integer number (6931428).

Almost surely, 2122051356 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 122051356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124765704).

122051356 is an abundant number, since it is smaller than the sum of its proper divisors (127480052).

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

122051356 is a wasteful number, since it uses less digits than its factorization.

122051356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 122051356 is about 11047.6855494714. The cubic root of 122051356 is about 496.0371492727.

The spelling of 122051356 in words is "one hundred twenty-two million, fifty-one thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 98 196 257 514 1028 1799 2423 3598 4846 7196 9692 12593 16961 25186 33922 50372 67844 118727 237454 474908 622711 1245422 2490844 4358977 8717954 17435908 30512839 61025678 122051356