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2212716920 = 235378318013
BaseRepresentation
bin1000001111100011…
…0110000101111000
312201012121122222112
42003320312011320
514012423420140
61003322111452
7105555532511
oct20370660570
95635548875
102212716920
11a36025a77
1251904b588
13293564a6b
1416dc2ba08
15ce3cec65
hex83e36178

2212716920 has 64 divisors (see below), whose sum is σ = 5175061920. Its totient is φ = 850742784.

The previous prime is 2212716911. The next prime is 2212716959. The reversal of 2212716920 is 296172122.

It is a super-2 number, since 2×22127169202 = 9792232336108572800, which contains 22 as substring.

It is a congruent number.

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, 113834 + ... + 131846.

Almost surely, 22212716920 is an apocalyptic number.

2212716920 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 2212716920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587530960).

2212716920 is an abundant number, since it is smaller than the sum of its proper divisors (2962345000).

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

2212716920 is a wasteful number, since it uses less digits than its factorization.

2212716920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18144 (or 18140 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 2212716920 is about 47039.5250826366. The cubic root of 2212716920 is about 1303.0926212283.

The spelling of 2212716920 in words is "two billion, two hundred twelve million, seven hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 83 148 166 185 296 332 370 415 664 740 830 1480 1660 3071 3320 6142 12284 15355 18013 24568 30710 36026 61420 72052 90065 122840 144104 180130 360260 666481 720520 1332962 1495079 2665924 2990158 3332405 5331848 5980316 6664810 7475395 11960632 13329620 14950790 26659240 29901580 55317923 59803160 110635846 221271692 276589615 442543384 553179230 1106358460 2212716920