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3355225560 = 2332522940699
BaseRepresentation
bin1100011111111100…
…1010110111011000
322122211110010012100
43013333022313120
523332414204220
61312534043400
7146100642501
oct30777126730
98584403170
103355225560
111471a34695
127977a9560
1341617a08b
1423b873ba8
15149860d90
hexc7fcadd8

3355225560 has 96 divisors (see below), whose sum is σ = 10952370000. Its totient is φ = 890797824.

The previous prime is 3355225547. The next prime is 3355225607. The reversal of 3355225560 is 655225533.

3355225560 is a `hidden beast` number, since 33 + 55 + 22 + 556 + 0 = 666.

It is a super-2 number, since 2×33552255602 = 22515077116954627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 62091 + ... + 102789.

Almost surely, 23355225560 is an apocalyptic number.

3355225560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3355225560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476185000).

3355225560 is an abundant number, since it is smaller than the sum of its proper divisors (7597144440).

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

3355225560 is a wasteful number, since it uses less digits than its factorization.

3355225560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40945 (or 40938 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The square root of 3355225560 is about 57924.3088866842. The cubic root of 3355225560 is about 1497.0647131407.

The spelling of 3355225560 in words is "three billion, three hundred fifty-five million, two hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 229 360 458 687 916 1145 1374 1832 2061 2290 2748 3435 4122 4580 5496 6870 8244 9160 10305 13740 16488 20610 27480 40699 41220 81398 82440 122097 162796 203495 244194 325592 366291 406990 488388 610485 732582 813980 976776 1220970 1465164 1627960 1831455 2441940 2930328 3662910 4883880 7325820 9320071 14651640 18640142 27960213 37280284 46600355 55920426 74560568 83880639 93200710 111840852 139801065 167761278 186401420 223681704 279602130 335522556 372802840 419403195 559204260 671045112 838806390 1118408520 1677612780 3355225560