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155220480 = 293256737
BaseRepresentation
bin10010100000001…
…11101000000000
3101211002000110200
421100013220000
5304214023410
623222525200
73563231562
oct1120075000
9354060420
10155220480
117a688498
1243b96800
132620914c
1416887332
15d9613c0
hex9407a00

155220480 has 120 divisors (see below), whose sum is σ = 537651972. Its totient is φ = 41385984.

The previous prime is 155220479. The next prime is 155220487. The reversal of 155220480 is 84022551.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 154554624 + 665856 = 12432^2 + 816^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1552204802 = 48186794822860800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (155220487) 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, 19672 + ... + 26408.

Almost surely, 2155220480 is an apocalyptic number.

155220480 is a gapful number since it is divisible by the number (10) 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 155220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268825986).

155220480 is an abundant number, since it is smaller than the sum of its proper divisors (382431492).

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

155220480 is an equidigital number, since it uses as much as digits as its factorization.

155220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6766 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 155220480 is about 12458.7511412661. The cubic root of 155220480 is about 537.4231135742.

The spelling of 155220480 in words is "one hundred fifty-five million, two hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 6737 7680 11520 13474 20211 23040 26948 33685 40422 53896 60633 67370 80844 101055 107792 121266 134740 161688 202110 215584 242532 269480 303165 323376 404220 431168 485064 538960 606330 646752 808440 862336 970128 1077920 1212660 1293504 1616880 1724672 1940256 2155840 2425320 2587008 3233760 3449344 3880512 4311680 4850640 5174016 6467520 7761024 8623360 9701280 10348032 12935040 15522048 17246720 19402560 25870080 31044096 38805120 51740160 77610240 155220480