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122192064 = 263997
BaseRepresentation
bin1110100100010…
…00000011000000
322111221000000000
413102020003000
5222240121224
620043000000
73012421041
oct722100300
9274830000
10122192064
1162a79785
1234b09000
131c4138c7
141232a8c8
15aada0c9
hex74880c0

122192064 has 140 divisors (see below), whose sum is σ = 367455704. Its totient is φ = 40310784.

The previous prime is 122192047. The next prime is 122192087. The reversal of 122192064 is 460291221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1259664 + ... + 1259760.

Almost surely, 2122192064 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 122192064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183727852).

122192064 is an abundant number, since it is smaller than the sum of its proper divisors (245263640).

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

122192064 is an frugal number, since it uses more digits than its factorization.

122192064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 122192064 is about 11054.0519267823. The cubic root of 122192064 is about 496.2276963584.

The spelling of 122192064 in words is "one hundred twenty-two million, one hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 144 162 192 194 216 243 288 291 324 388 432 486 576 582 648 729 776 864 873 972 1164 1296 1458 1552 1728 1746 1944 2187 2328 2592 2619 2916 3104 3492 3888 4374 4656 5184 5238 5832 6208 6561 6984 7776 7857 8748 9312 10476 11664 13122 13968 15552 15714 17496 18624 19683 20952 23328 23571 26244 27936 31428 34992 39366 41904 46656 47142 52488 55872 62856 69984 70713 78732 83808 94284 104976 125712 139968 141426 157464 167616 188568 209952 212139 251424 282852 314928 377136 419904 424278 502848 565704 629856 636417 754272 848556 1131408 1259712 1272834 1508544 1697112 1909251 2262816 2545668 3394224 3818502 4525632 5091336 6788448 7637004 10182672 13576896 15274008 20365344 30548016 40730688 61096032 122192064