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122250648 = 23313537393
BaseRepresentation
bin1110100100101…
…10010110011000
322112000222100210
413102112112120
5222244010043
620044131120
73013053612
oct722262630
9275028323
10122250648
11630097a3
1234b36aa0
131c434480
1412343db2
15aaec633
hex7496598

122250648 has 64 divisors (see below), whose sum is σ = 335391840. Its totient is φ = 36900864.

The previous prime is 122250647. The next prime is 122250659. The reversal of 122250648 is 846052221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122250647) 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, 12840 + ... + 20232.

Almost surely, 2122250648 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 122250648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167695920).

122250648 is an abundant number, since it is smaller than the sum of its proper divisors (213141192).

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

122250648 is a wasteful number, since it uses less digits than its factorization.

122250648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7468 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 122250648 is about 11056.7014972821. The cubic root of 122250648 is about 496.3069878107.

The spelling of 122250648 in words is "one hundred twenty-two million, two hundred fifty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 2067 2756 4134 5512 7393 8268 14786 16536 22179 29572 44358 59144 88716 96109 177432 192218 288327 384436 391829 576654 768872 783658 1153308 1175487 1567316 2306616 2350974 3134632 4701948 5093777 9403896 10187554 15281331 20375108 30562662 40750216 61125324 122250648