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264158220 = 223523672857
BaseRepresentation
bin11111011111010…
…11110000001100
3200102001121221210
433233223300030
51020111030340
642113454420
76355210404
oct1757536014
9612047853
10264158220
11126123a87
1274571410
134295bb51
1427123804
15182ce180
hexfbebc0c

264158220 has 96 divisors (see below), whose sum is σ = 783595008. Its totient is φ = 66350592.

The previous prime is 264158183. The next prime is 264158233. The reversal of 264158220 is 22851462.

264158220 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

264158220 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91032 + ... + 93888.

It is an arithmetic number, because the mean of its divisors is an integer number (8162448).

Almost surely, 2264158220 is an apocalyptic number.

264158220 is a gapful number since it is divisible by the number (20) 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 264158220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391797504).

264158220 is an abundant number, since it is smaller than the sum of its proper divisors (519436788).

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

264158220 is a wasteful number, since it uses less digits than its factorization.

264158220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 264158220 is about 16252.9449639135. The cubic root of 264158220 is about 641.6349959819.

The spelling of 264158220 in words is "two hundred sixty-four million, one hundred fifty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 67 69 92 115 134 138 201 230 268 276 335 345 402 460 670 690 804 1005 1340 1380 1541 2010 2857 3082 4020 4623 5714 6164 7705 8571 9246 11428 14285 15410 17142 18492 23115 28570 30820 34284 42855 46230 57140 65711 85710 92460 131422 171420 191419 197133 262844 328555 382838 394266 574257 657110 765676 788532 957095 985665 1148514 1314220 1914190 1971330 2297028 2871285 3828380 3942660 4402637 5742570 8805274 11485140 13207911 17610548 22013185 26415822 44026370 52831644 66039555 88052740 132079110 264158220