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22502653340 = 22537199152809
BaseRepresentation
bin10100111101010000…
…110011110110011100
32011002020201020020012
4110331100303312130
5332041134401330
614200525542352
71424431253216
oct247520636634
964066636205
1022502653340
1195a8185572
1244401149b8
1321780259bb
1411368275b6
158ba81cc95
hex53d433d9c

22502653340 has 48 divisors (see below), whose sum is σ = 48776952000. Its totient is φ = 8713723392.

The previous prime is 22502653321. The next prime is 22502653351. The reversal of 22502653340 is 4335620522.

It is a junction number, because it is equal to n+sod(n) for n = 22502653297 and 22502653306.

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, 70856 + ... + 223664.

It is an arithmetic number, because the mean of its divisors is an integer number (1016186500).

Almost surely, 222502653340 is an apocalyptic number.

22502653340 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 22502653340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24388476000).

22502653340 is an abundant number, since it is smaller than the sum of its proper divisors (26274298660).

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

22502653340 is a wasteful number, since it uses less digits than its factorization.

22502653340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153054 (or 153052 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 22502653340 in words is "twenty-two billion, five hundred two million, six hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 199 370 398 740 796 995 1990 3980 7363 14726 29452 36815 73630 147260 152809 305618 611236 764045 1528090 3056180 5653933 11307866 22615732 28269665 30408991 56539330 60817982 113078660 121635964 152044955 304089910 608179820 1125132667 2250265334 4500530668 5625663335 11251326670 22502653340