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228507588096 = 293313475297
BaseRepresentation
bin1101010011010000011…
…1010001011000000000
3210211211002100012121120
43110310013101120000
512220440420304341
6252550330352240
722336426310514
oct3246407213000
9724732305546
10228507588096
1188a00638067
123835288b680
131871844aab8
14b0ba240144
155e26052066
hex35341d1600

228507588096 has 80 divisors (see below), whose sum is σ = 610704696624. Its totient is φ = 75925684224.

The previous prime is 228507588091. The next prime is 228507588149. The reversal of 228507588096 is 690885705822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228507588091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243120 + ... + 718416.

Almost surely, 2228507588096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228507588096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305352348312).

228507588096 is an abundant number, since it is smaller than the sum of its proper divisors (382197108528).

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

228507588096 is an equidigital number, since it uses as much as digits as its factorization.

228507588096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475631 (or 475615 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 228507588096 in words is "two hundred twenty-eight billion, five hundred seven million, five hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 313 384 512 626 768 939 1252 1536 1878 2504 3756 5008 7512 10016 15024 20032 30048 40064 60096 80128 120192 160256 240384 475297 480768 950594 1425891 1901188 2851782 3802376 5703564 7604752 11407128 15209504 22814256 30419008 45628512 60838016 91257024 121676032 148767961 182514048 243352064 297535922 365028096 446303883 595071844 730056192 892607766 1190143688 1785215532 2380287376 3570431064 4760574752 7140862128 9521149504 14281724256 19042299008 28563448512 38084598016 57126897024 76169196032 114253794048 228507588096