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2042226446600 = 235223967459113
BaseRepresentation
bin11101101101111110001…
…011101001000100001000
321020020100021100121000202
4131231332023221010020
5231424434432242400
64202104052151332
7300355163243564
oct35557613510410
97206307317022
102042226446600
1171811565213a
1228b969608548
1311a772977a52
1470bb6a206a4
15381ca1a74d5
hex1db7e2e9108

2042226446600 has 96 divisors (see below), whose sum is σ = 4959753448320. Its totient is φ = 780563857920.

The previous prime is 2042226446591. The next prime is 2042226446627. The reversal of 2042226446600 is 66446222402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4218644 + ... + 4677756.

It is an arithmetic number, because the mean of its divisors is an integer number (51664098420).

Almost surely, 22042226446600 is an apocalyptic number.

2042226446600 is a gapful number since it is divisible by the number (20) 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 2042226446600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479876724160).

2042226446600 is an abundant number, since it is smaller than the sum of its proper divisors (2917527001720).

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

2042226446600 is a wasteful number, since it uses less digits than its factorization.

2042226446600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460119 (or 460110 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 2042226446600 in words is "two trillion, forty-two billion, two hundred twenty-six million, four hundred forty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 967 1150 1934 2300 3868 4600 4835 7736 9670 19340 22241 24175 38680 44482 48350 88964 96700 111205 177928 193400 222410 444820 459113 556025 889640 918226 1112050 1836452 2224100 2295565 3672904 4448200 4591130 9182260 10559599 11477825 18364520 21119198 22955650 42238396 45911300 52797995 84476792 91822600 105595990 211191980 263989975 422383960 443962271 527979950 887924542 1055959900 1775849084 2111919800 2219811355 3551698168 4439622710 8879245420 10211132233 11099056775 17758490840 20422264466 22198113550 40844528932 44396227100 51055661165 81689057864 88792454200 102111322330 204222644660 255278305825 408445289320 510556611650 1021113223300 2042226446600