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22254053004 = 22323730754421
BaseRepresentation
bin10100101110011100…
…011110011010001100
32010102220221000200100
4110232130132122030
5331034014144004
614120125331100
71415322221001
oct245634363214
963386830610
1022254053004
11948a918447
124390a06a90
132138683401
1411117d38a8
158a3ab3739
hex52e71e68c

22254053004 has 72 divisors (see below), whose sum is σ = 57962913008. Its totient is φ = 7193888640.

The previous prime is 22254052999. The next prime is 22254053011. The reversal of 22254053004 is 40035045222.

It is a happy number.

22254053004 is a `hidden beast` number, since 2 + 225 + 405 + 30 + 0 + 4 = 666.

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, 381714 + ... + 436134.

Almost surely, 222254053004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22254053004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28981456504).

22254053004 is an abundant number, since it is smaller than the sum of its proper divisors (35708860004).

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

22254053004 is a wasteful number, since it uses less digits than its factorization.

22254053004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54775 (or 54770 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 22254053004 its reverse (40035045222), we get a palindrome (62289098226).

The spelling of 22254053004 in words is "twenty-two billion, two hundred fifty-four million, fifty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 307 333 444 614 666 921 1228 1332 1842 2763 3684 5526 11052 11359 22718 34077 45436 54421 68154 102231 108842 136308 163263 204462 217684 326526 408924 489789 653052 979578 1959156 2013577 4027154 6040731 8054308 12081462 16707247 18122193 24162924 33414494 36244386 50121741 66828988 72488772 100243482 150365223 200486964 300730446 601460892 618168139 1236336278 1854504417 2472672556 3709008834 5563513251 7418017668 11127026502 22254053004