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228516864400 = 24521151935651
BaseRepresentation
bin1101010011010010101…
…0101010000110010000
3210211211201210111022101
43110310222222012100
512221000304130100
6252551301250144
722336601204236
oct3246452520620
9724751714271
10228516864400
1188a058a3530
1238355a03954
131871a348136
14b0bb576956
155e26c8586a
hex3534aaa190

228516864400 has 60 divisors (see below), whose sum is σ = 598921938864. Its totient is φ = 83097040000.

The previous prime is 228516864383. The next prime is 228516864487. The reversal of 228516864400 is 4468615822.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25963426 + ... + 25972225.

Almost surely, 2228516864400 is an apocalyptic number.

228516864400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228516864400 is an abundant number, since it is smaller than the sum of its proper divisors (370405074464).

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

228516864400 is a wasteful number, since it uses less digits than its factorization.

228516864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51935680 (or 51935669 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 228516864400 in words is "two hundred twenty-eight billion, five hundred sixteen million, eight hundred sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 51935651 103871302 207742604 259678255 415485208 519356510 571292161 830970416 1038713020 1142584322 1298391275 2077426040 2285168644 2596782550 2856460805 4154852080 4570337288 5193565100 5712921610 9140674576 10387130200 11425843220 14282304025 20774260400 22851686440 28564608050 45703372880 57129216100 114258432200 228516864400