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22121224002 = 23222711874561
BaseRepresentation
bin10100100110100001…
…110001011101000010
32010002122222121112200
4110212201301131002
5330301013132002
614055022334030
71412120205303
oct244641613502
963078877480
1022121224002
119421944009
12435442a316
132116cb7077
1410dbcd87aa
158970c6b1c
hex526871742

22121224002 has 48 divisors (see below), whose sum is σ = 48191581152. Its totient is φ = 7333464960.

The previous prime is 22121223959. The next prime is 22121224019. The reversal of 22121224002 is 20042212122.

22121224002 is a `hidden beast` number, since 221 + 21 + 22 + 400 + 2 = 666.

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

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, 4847802 + ... + 4852362.

It is an arithmetic number, because the mean of its divisors is an integer number (1003991274).

Almost surely, 222121224002 is an apocalyptic number.

22121224002 is an abundant number, since it is smaller than the sum of its proper divisors (26070357150).

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

22121224002 is a wasteful number, since it uses less digits than its factorization.

22121224002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983 (or 5980 counting only the distinct ones).

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

Adding to 22121224002 its reverse (20042212122), we get a palindrome (42163436124).

The spelling of 22121224002 in words is "twenty-two billion, one hundred twenty-one million, two hundred twenty-four thousand, two".

Divisors: 1 2 3 6 9 18 227 454 681 1187 1362 2043 2374 3561 4086 4561 7122 9122 10683 13683 21366 27366 41049 82098 269449 538898 808347 1035347 1616694 2070694 2425041 3106041 4850082 5413907 6212082 9318123 10827814 16241721 18636246 32483442 48725163 97450326 1228956889 2457913778 3686870667 7373741334 11060612001 22121224002