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226323513540 = 223251677529059
BaseRepresentation
bin1101001011000111101…
…1101100000011000100
3210122011212121201120100
43102301323230003010
512202002304413130
6251545510204100
722231336060305
oct3226173540304
9718155551510
10226323513540
1187a8a7a5573
1237a43353630
131845ab040a7
14ad5014a7ac
155d4942dc60
hex34b1eec0c4

226323513540 has 72 divisors (see below), whose sum is σ = 690625615680. Its totient is φ = 59991534144.

The previous prime is 226323513527. The next prime is 226323513601. The reversal of 226323513540 is 45315323622.

226323513540 is a `hidden beast` number, since 2 + 2 + 63 + 2 + 3 + 51 + 3 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 226323513495 and 226323513504.

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, 3734470 + ... + 3794589.

It is an arithmetic number, because the mean of its divisors is an integer number (9592022440).

Almost surely, 2226323513540 is an apocalyptic number.

226323513540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226323513540 is an abundant number, since it is smaller than the sum of its proper divisors (464302102140).

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

226323513540 is a wasteful number, since it uses less digits than its factorization.

226323513540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7529241 (or 7529236 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 226323513540 in words is "two hundred twenty-six billion, three hundred twenty-three million, five hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 15030 30060 7529059 15058118 22587177 30116236 37645295 45174354 67761531 75290590 90348708 112935885 135523062 150581180 225871770 271046124 338807655 451743540 677615310 1257352853 1355230620 2514705706 3772058559 5029411412 6286764265 7544117118 11316175677 12573528530 15088234236 18860292795 22632351354 25147057060 37720585590 45264702708 56580878385 75441171180 113161756770 226323513540