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30221022900 = 22352811124213
BaseRepresentation
bin11100001001010100…
…000011011010110100
32220000011012000210110
4130021110003122310
5443343040213100
621514445223020
72116622312325
oct341124033264
986004160713
1030221022900
11118a8a85892
125a34b61a70
132b08100293
14166994044c
15bbd237250
hex7095036b4

30221022900 has 72 divisors (see below), whose sum is σ = 87548014624. Its totient is φ = 8048937600.

The previous prime is 30221022883. The next prime is 30221022901. The reversal of 30221022900 is 922012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30221022901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181194 + ... + 305406.

Almost surely, 230221022900 is an apocalyptic number.

30221022900 is a gapful number since it is divisible by the number (30) 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 30221022900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43774007312).

30221022900 is an abundant number, since it is smaller than the sum of its proper divisors (57326991724).

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

30221022900 is a wasteful number, since it uses less digits than its factorization.

30221022900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125041 (or 125034 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 30221022900 in words is "thirty billion, two hundred twenty-one million, twenty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 811 1622 2433 3244 4055 4866 8110 9732 12165 16220 20275 24330 40550 48660 60825 81100 121650 124213 243300 248426 372639 496852 621065 745278 1242130 1490556 1863195 2484260 3105325 3726390 6210650 7452780 9315975 12421300 18631950 37263900 100736743 201473486 302210229 402946972 503683715 604420458 1007367430 1208840916 1511051145 2014734860 2518418575 3022102290 5036837150 6044204580 7555255725 10073674300 15110511450 30221022900