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7230100900 = 22521127732
BaseRepresentation
bin1101011101111001…
…01001010110100100
3200122212201011212211
412232330221112210
5104301401212100
63153234053204
7344111562241
oct65674512644
920585634784
107230100900
113080226900
12149941a204
138b2b9c119
144c83365c8
152c4b1c1ba
hex1aef295a4

7230100900 has 81 divisors (see below), whose sum is σ = 17267622883. Its totient is φ = 2625726400.

The previous prime is 7230100879. The next prime is 7230100919. The reversal of 7230100900 is 90010327.

The square root of 7230100900 is 85030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2804126116 + 4425974784 = 52954^2 + 66528^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9352914 + ... + 9353686.

Almost surely, 27230100900 is an apocalyptic number.

7230100900 is the 85030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7230100900

7230100900 is an abundant number, since it is smaller than the sum of its proper divisors (10037521983).

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

7230100900 is a wasteful number, since it uses less digits than its factorization.

7230100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The cubic root of 7230100900 is about 1933.6659630479.

The spelling of 7230100900 in words is "seven billion, two hundred thirty million, one hundred thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 773 1100 1210 1546 2420 3025 3092 3865 6050 7730 8503 12100 15460 17006 19325 34012 38650 42515 77300 85030 93533 170060 187066 212575 374132 425150 467665 597529 850300 935330 1195058 1870660 2338325 2390116 2987645 4676650 5975290 6572819 9353300 11950580 13145638 14938225 26291276 29876450 32864095 59752900 65728190 72301009 131456380 144602018 164320475 289204036 328640950 361505045 657281900 723010090 1446020180 1807525225 3615050450 7230100900