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252232380 = 22345155699
BaseRepresentation
bin11110000100011…
…00001010111100
3122120121201210000
433002030022330
51004032414010
641010114300
76151640241
oct1702141274
9576551700
10252232380
1111a418a14
127057b990
134034483a
14256db5c8
15172257c0
hexf08c2bc

252232380 has 60 divisors (see below), whose sum is σ = 791267400. Its totient is φ = 67261536.

The previous prime is 252232373. The next prime is 252232403. The reversal of 252232380 is 83232252.

252232380 is a `hidden beast` number, since 2 + 52 + 232 + 380 = 666.

252232380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76230 + ... + 79469.

It is an arithmetic number, because the mean of its divisors is an integer number (13187790).

Almost surely, 2252232380 is an apocalyptic number.

252232380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252232380 is an abundant number, since it is smaller than the sum of its proper divisors (539035020).

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

252232380 is a wasteful number, since it uses less digits than its factorization.

252232380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155720 (or 155709 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 252232380 is about 15881.8254618290. The cubic root of 252232380 is about 631.8300529802.

The spelling of 252232380 in words is "two hundred fifty-two million, two hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 155699 311398 467097 622796 778495 934194 1401291 1556990 1868388 2335485 2802582 3113980 4203873 4670970 5605164 7006455 8407746 9341940 12611619 14012910 16815492 21019365 25223238 28025820 42038730 50446476 63058095 84077460 126116190 252232380