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2241433904 = 242323326141
BaseRepresentation
bin1000010110011001…
…1001000100110000
312210012122122021112
42011212121010300
514042301341104
61010225412452
7106354605503
oct20546310460
95705578245
102241433904
11a5025a516
1252679a128
132994aaa68
1417398513a
15d1ba386e
hex85999130

2241433904 has 40 divisors (see below), whose sum is σ = 4551217632. Its totient is φ = 1067348480.

The previous prime is 2241433897. The next prime is 2241433937. The reversal of 2241433904 is 4093341422.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72674 + ... + 98814.

Almost surely, 22241433904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241433904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275608816).

2241433904 is an abundant number, since it is smaller than the sum of its proper divisors (2309783728).

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

2241433904 is a wasteful number, since it uses less digits than its factorization.

2241433904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26405 (or 26399 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 2241433904 is about 47343.7842171494. The cubic root of 2241433904 is about 1308.7056547059.

The spelling of 2241433904 in words is "two billion, two hundred forty-one million, four hundred thirty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 23 46 92 184 233 368 466 932 1864 3728 5359 10718 21436 26141 42872 52282 85744 104564 209128 418256 601243 1202486 2404972 4809944 6090853 9619888 12181706 24363412 48726824 97453648 140089619 280179238 560358476 1120716952 2241433904