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228137360 = 24511436029
BaseRepresentation
bin11011001100100…
…01100110010000
3120220021120121212
431212101212100
5431400343420
634345435252
75440064333
oct1546214620
9526246555
10228137360
11107860a80
126449bb28
1338359529
142242861a
15150663c5
hexd991990

228137360 has 80 divisors (see below), whose sum is σ = 592194240. Its totient is φ = 81016320.

The previous prime is 228137359. The next prime is 228137383. The reversal of 228137360 is 63731822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34826 + ... + 40854.

It is an arithmetic number, because the mean of its divisors is an integer number (7402428).

Almost surely, 2228137360 is an apocalyptic number.

228137360 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 228137360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296097120).

228137360 is an abundant number, since it is smaller than the sum of its proper divisors (364056880).

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

228137360 is a wasteful number, since it uses less digits than its factorization.

228137360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6096 (or 6090 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 228137360 is about 15104.2166298024. The cubic root of 228137360 is about 611.0341322566.

The spelling of 228137360 in words is "two hundred twenty-eight million, one hundred thirty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 1720 1892 2365 3440 3784 4730 6029 7568 9460 12058 18920 24116 30145 37840 48232 60290 66319 96464 120580 132638 241160 259247 265276 331595 482320 518494 530552 663190 1036988 1061104 1296235 1326380 2073976 2592470 2652760 2851717 4147952 5184940 5305520 5703434 10369880 11406868 14258585 20739760 22813736 28517170 45627472 57034340 114068680 228137360