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2196796900 = 22524321092
BaseRepresentation
bin1000001011110000…
…0111010111100100
312200002122211211011
42002330013113210
513444340000100
61001552552004
7105303315454
oct20274072744
95602584734
102196796900
11a28042031
12513852604
1329017c72c
1416ba85d64
15cccd7bba
hex82f075e4

2196796900 has 81 divisors (see below), whose sum is σ = 4925674971. Its totient is φ = 850409280.

The previous prime is 2196796883. The next prime is 2196796913. The reversal of 2196796900 is 96976912.

The square root of 2196796900 is 46870.

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 8054244 + 2188742656 = 2838^2 + 46784^2 .

It is a super-2 number, since 2×21967969002 = 9651833239699220000, which contains 22 as substring.

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, 20154046 + ... + 20154154.

Almost surely, 22196796900 is an apocalyptic number.

2196796900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2196796900 is the 46870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2196796900

2196796900 is an abundant number, since it is smaller than the sum of its proper divisors (2728878071).

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

2196796900 is a wasteful number, since it uses less digits than its factorization.

2196796900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 49.

The cubic root of 2196796900 is about 1299.9599395939.

Multiplying 2196796900 by its sum of digits (49), we get a square (107643048100 = 3280902).

The spelling of 2196796900 in words is "two billion, one hundred ninety-six million, seven hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 109 172 215 218 430 436 545 860 1075 1090 1849 2150 2180 2725 3698 4300 4687 5450 7396 9245 9374 10900 11881 18490 18748 23435 23762 36980 46225 46870 47524 59405 92450 93740 117175 118810 184900 201541 234350 237620 297025 403082 468700 510883 594050 806164 1007705 1021766 1188100 2015410 2043532 2554415 4030820 5038525 5108830 10077050 10217660 12772075 20154100 21967969 25544150 43935938 51088300 87871876 109839845 219679690 439359380 549199225 1098398450 2196796900