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228137370 = 235193112911
BaseRepresentation
bin11011001100100…
…01100110011010
3120220021120122020
431212101212122
5431400343440
634345435310
75440064346
oct1546214632
9526246566
10228137370
11107860a8a
126449bb36
1338359536
1422428626
15150663d0
hexd99199a

228137370 has 64 divisors (see below), whose sum is σ = 594984960. Its totient is φ = 55771200.

The previous prime is 228137359. The next prime is 228137383. The reversal of 228137370 is 73731822.

228137370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11215 + ... + 24125.

It is an arithmetic number, because the mean of its divisors is an integer number (9296640).

Almost surely, 2228137370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228137370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297492480).

228137370 is an abundant number, since it is smaller than the sum of its proper divisors (366847590).

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

228137370 is a wasteful number, since it uses less digits than its factorization.

228137370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12971.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 228137370 is about 15104.2169608358. The cubic root of 228137370 is about 611.0341411845.

The spelling of 228137370 in words is "two hundred twenty-eight million, one hundred thirty-seven thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 465 570 589 930 1178 1767 2945 3534 5890 8835 12911 17670 25822 38733 64555 77466 129110 193665 245309 387330 400241 490618 735927 800482 1200723 1226545 1471854 2001205 2401446 2453090 3679635 4002410 6003615 7359270 7604579 12007230 15209158 22813737 38022895 45627474 76045790 114068685 228137370