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268522092 = 2232471511051
BaseRepresentation
bin10000000000010…
…101001001101100
3200201021100001200
4100000111021230
51022220201332
642351205500
76440254146
oct2000251154
9621240050
10268522092
11128634693
1275b16890
1343829217
142793bc96
151889217c
hex1001526c

268522092 has 72 divisors (see below), whose sum is σ = 698460672. Its totient is φ = 86940000.

The previous prime is 268522091. The next prime is 268522109. The reversal of 268522092 is 290225862.

It is a super-2 number, since 2×2685220922 = 144208227784112928, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (268522091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254967 + ... + 256017.

Almost surely, 2268522092 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 268522092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349230336).

268522092 is an abundant number, since it is smaller than the sum of its proper divisors (429938580).

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

268522092 is a wasteful number, since it uses less digits than its factorization.

268522092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 268522092 is about 16386.6437076053. The cubic root of 268522092 is about 645.1489686564.

The spelling of 268522092 in words is "two hundred sixty-eight million, five hundred twenty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 151 188 282 302 423 453 564 604 846 906 1051 1359 1692 1812 2102 2718 3153 4204 5436 6306 7097 9459 12612 14194 18918 21291 28388 37836 42582 49397 63873 85164 98794 127746 148191 158701 197588 255492 296382 317402 444573 476103 592764 634804 889146 952206 1428309 1778292 1904412 2856618 5713236 7458947 14917894 22376841 29835788 44753682 67130523 89507364 134261046 268522092