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2004022140210 = 233546116100443
BaseRepresentation
bin11101001010011001000…
…001110001110100110010
321002120201202012202002000
4131022121001301310302
5230313214131441320
64132345101234430
7264533352063246
oct35123101616462
97076652182060
102004022140210
117029a0287302
12284486b62a16
13116c949383ac
146cdd0b28426
15371e1177c90
hex1d299071d32

2004022140210 has 64 divisors (see below), whose sum is σ = 5355651692160. Its totient is φ = 533246639040.

The previous prime is 2004022140209. The next prime is 2004022140233. The reversal of 2004022140210 is 120412204002.

2004022140210 is a `hidden beast` number, since 2 + 0 + 0 + 40 + 221 + 402 + 1 + 0 = 666.

It is a super-2 number, since 2×20040221402102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 7925752 + ... + 8174691.

It is an arithmetic number, because the mean of its divisors is an integer number (83682057690).

Almost surely, 22004022140210 is an apocalyptic number.

2004022140210 is an abundant number, since it is smaller than the sum of its proper divisors (3351629551950).

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

2004022140210 is a wasteful number, since it uses less digits than its factorization.

2004022140210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16100920 (or 16100914 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2004022140210 its reverse (120412204002), we get a palindrome (2124434344212).

The spelling of 2004022140210 in words is "two trillion, four billion, twenty-two million, one hundred forty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 461 922 1383 2305 2766 4149 4610 6915 8298 12447 13830 20745 24894 41490 62235 124470 16100443 32200886 48301329 80502215 96602658 144903987 161004430 241506645 289807974 434711961 483013290 724519935 869423922 1449039870 2173559805 4347119610 7422304223 14844608446 22266912669 37111521115 44533825338 66800738007 74223042230 111334563345 133601476014 200402214021 222669126690 334003690035 400804428042 668007380070 1002011070105 2004022140210