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22516130720 = 2554121116267
BaseRepresentation
bin10100111110000100…
…001110001110100000
32011010012001221201102
4110332010032032200
5332103112140340
614202130453532
71424653644656
oct247604161640
964105057642
1022516130720
1196048502a6
1244447342a8
13217aa64295
141138534dd6
158bbad1215
hex53e10e3a0

22516130720 has 96 divisors (see below), whose sum is σ = 54753402816. Its totient is φ = 8744601600.

The previous prime is 22516130713. The next prime is 22516130753. The reversal of 22516130720 is 2703161522.

It is a happy number.

It is a super-2 number, since 2×225161307202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1376027 + ... + 1392293.

It is an arithmetic number, because the mean of its divisors is an integer number (570347946).

Almost surely, 222516130720 is an apocalyptic number.

22516130720 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 22516130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27376701408).

22516130720 is an abundant number, since it is smaller than the sum of its proper divisors (32237272096).

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

22516130720 is a wasteful number, since it uses less digits than its factorization.

22516130720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16534 (or 16526 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 22516130720 in words is "twenty-two billion, five hundred sixteen million, one hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 211 328 410 422 656 820 844 1055 1312 1640 1688 2110 3280 3376 4220 6560 6752 8440 8651 16267 16880 17302 32534 33760 34604 43255 65068 69208 81335 86510 130136 138416 162670 173020 260272 276832 325340 346040 520544 650680 666947 692080 1301360 1333894 1384160 2602720 2667788 3334735 3432337 5335576 6669470 6864674 10671152 13338940 13729348 17161685 21342304 26677880 27458696 34323370 53355760 54917392 68646740 106711520 109834784 137293480 140725817 274586960 281451634 549173920 562903268 703629085 1125806536 1407258170 2251613072 2814516340 4503226144 5629032680 11258065360 22516130720