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122150340 = 223251352201
BaseRepresentation
bin1110100011111…
…01110111000100
322111211212202200
413101331313010
5222232302330
620042034500
73012155304
oct721756704
9274755680
10122150340
1162a503a4
1234aa8a30
131c3ca910
1412319604
15aacca60
hex747ddc4

122150340 has 72 divisors (see below), whose sum is σ = 399032088. Its totient is φ = 30067200.

The previous prime is 122150339. The next prime is 122150359. The reversal of 122150340 is 43051221.

122150340 is a `hidden beast` number, since 122 + 1 + 503 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12152196 + 109998144 = 3486^2 + 10488^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23761 + ... + 28440.

Almost surely, 2122150340 is an apocalyptic number.

122150340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122150340 is an abundant number, since it is smaller than the sum of its proper divisors (276881748).

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

122150340 is a wasteful number, since it uses less digits than its factorization.

122150340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52229 (or 52224 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122150340 is about 11052.1644938899. The cubic root of 122150340 is about 496.1712088889.

The spelling of 122150340 in words is "one hundred twenty-two million, one hundred fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 52201 104402 156603 208804 261005 313206 469809 522010 626412 678613 783015 939618 1044020 1357226 1566030 1879236 2035839 2349045 2714452 3132060 3393065 4071678 4698090 6107517 6786130 8143356 9396180 10179195 12215034 13572260 20358390 24430068 30537585 40716780 61075170 122150340