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228772678160 = 24513297585301
BaseRepresentation
bin1101010100001111101…
…0100000101000010000
3210212111120011011211002
43111003322200220100
512222011301200120
6253032520241132
722346125452035
oct3250372405020
9725446134732
10228772678160
1189027238164
12384076101a8
131875b344b20
14b10352738c
155e3e467375
hex3543ea0a10

228772678160 has 80 divisors (see below), whose sum is σ = 592563792240. Its totient is φ = 81557145600.

The previous prime is 228772678151. The next prime is 228772678181. The reversal of 228772678160 is 61876277822.

It can be written as a sum of positive squares in 8 ways, for example, as 1602240784 + 227170437376 = 40028^2 + 476624^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 228772678096 and 228772678105.

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, 3762491 + ... + 3822810.

It is an arithmetic number, because the mean of its divisors is an integer number (7407047403).

Almost surely, 2228772678160 is an apocalyptic number.

228772678160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228772678160 is an abundant number, since it is smaller than the sum of its proper divisors (363791114080).

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

228772678160 is a wasteful number, since it uses less digits than its factorization.

228772678160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7585356 (or 7585350 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 56.

The spelling of 228772678160 in words is "two hundred twenty-eight billion, seven hundred seventy-two million, six hundred seventy-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3770 6032 7540 15080 30160 7585301 15170602 30341204 37926505 60682408 75853010 98608913 121364816 151706020 197217826 219973729 303412040 394435652 439947458 493044565 606824080 788871304 879894916 986089130 1099868645 1577742608 1759789832 1972178260 2199737290 2859658477 3519579664 3944356520 4399474580 5719316954 7888713040 8798949160 11438633908 14298292385 17597898320 22877267816 28596584770 45754535632 57193169540 114386339080 228772678160