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226314632640 = 2635235744409
BaseRepresentation
bin1101001011000101100…
…1110011110111000000
3210122011020220112021010
43102301121303313000
512201443021221030
6251544552000520
722231200431415
oct3226131636700
9718136815233
10226314632640
1187a8578a188
1237a40390140
1318459014a15
14ad4ccb810c
155d487776b0
hex34b1673dc0

226314632640 has 56 divisors (see below), whose sum is σ = 718548961680. Its totient is φ = 60350568448.

The previous prime is 226314632639. The next prime is 226314632657. The reversal of 226314632640 is 46236413622.

226314632640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117871245 + ... + 117873164.

Almost surely, 2226314632640 is an apocalyptic number.

226314632640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226314632640 is an abundant number, since it is smaller than the sum of its proper divisors (492234329040).

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

226314632640 is a wasteful number, since it uses less digits than its factorization.

226314632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235744429 (or 235744419 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 226314632640 in words is "two hundred twenty-six billion, three hundred fourteen million, six hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 235744409 471488818 707233227 942977636 1178722045 1414466454 1885955272 2357444090 2828932908 3536166135 3771910544 4714888180 5657865816 7072332270 7543821088 9429776360 11315731632 14144664540 15087642176 18859552720 22631463264 28289329080 37719105440 45262926528 56578658160 75438210880 113157316320 226314632640