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2227052687992 = 2311193461384851
BaseRepresentation
bin100000011010000110101…
…011110011001001111000
321212220102010112110211121
4200122012223303021320
5242442000442003432
64423032140035024
7316620304336366
oct40320653631170
97786363473747
102227052687992
11789540201970
122bb74b532a74
13132019450b22
1479b0b7aa636
153cde6443197
hex20686af3278

2227052687992 has 64 divisors (see below), whose sum is σ = 4796487446400. Its totient is φ = 958738320000.

The previous prime is 2227052687989. The next prime is 2227052688031. The reversal of 2227052687992 is 2997862507222.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2227052687992.

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 15 ways as a sum of consecutive naturals, for example, 5594367 + ... + 5979217.

It is an arithmetic number, because the mean of its divisors is an integer number (74945116350).

Almost surely, 22227052687992 is an apocalyptic number.

2227052687992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2227052687992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398243723200).

2227052687992 is an abundant number, since it is smaller than the sum of its proper divisors (2569434758408).

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

2227052687992 is a wasteful number, since it uses less digits than its factorization.

2227052687992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388348 (or 388344 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 2227052687992 in words is "two trillion, two hundred twenty-seven billion, fifty-two million, six hundred eighty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 3461 6922 13844 27688 38071 65759 76142 131518 152284 263036 304568 384851 526072 723349 769702 1446698 1539404 2893396 3078808 4233361 5786792 7312169 8466722 14624338 16933444 29248676 33866888 58497352 80433859 160867718 321735436 643470872 1331969311 2663938622 5327877244 10655754488 14651662421 25307416909 29303324842 50614833818 58606649684 101229667636 117213299368 202459335272 278381585999 556763171998 1113526343996 2227052687992