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2425227804 = 223459293433
BaseRepresentation
bin1001000010001110…
…0000101000011100
320021000111100010000
42100203200220130
514431324242204
61040353014300
7114046044666
oct22043405034
96230440100
102425227804
111034a835aa
12578254390
132c85ac74c
14190149536
15e2dab039
hex908e0a1c

2425227804 has 120 divisors (see below), whose sum is σ = 6484428720. Its totient is φ = 790166016.

The previous prime is 2425227793. The next prime is 2425227817. The reversal of 2425227804 is 4087225242.

2425227804 is a `hidden beast` number, since 2 + 425 + 227 + 8 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5600772 + ... + 5601204.

It is an arithmetic number, because the mean of its divisors is an integer number (54036906).

Almost surely, 22425227804 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 2425227804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242214360).

2425227804 is an abundant number, since it is smaller than the sum of its proper divisors (4059200916).

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

2425227804 is a wasteful number, since it uses less digits than its factorization.

2425227804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2425227804 is about 49246.6019538404. The cubic root of 2425227804 is about 1343.5407590723.

The spelling of 2425227804 in words is "two billion, four hundred twenty-five million, two hundred twenty-seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 293 324 354 433 531 586 708 866 879 1062 1172 1299 1593 1732 1758 2124 2598 2637 3186 3516 3897 4779 5196 5274 6372 7794 7911 9558 10548 11691 15588 15822 17287 19116 23382 23733 25547 31644 34574 35073 46764 47466 51094 51861 69148 70146 76641 94932 102188 103722 126869 140292 153282 155583 207444 229923 253738 306564 311166 380607 459846 466749 507476 622332 689769 761214 919692 933498 1141821 1379538 1400247 1522428 1866996 2069307 2283642 2759076 2800494 3425463 4138614 4567284 5600988 6850926 7485271 8277228 10276389 13701852 14970542 20552778 22455813 29941084 41105556 44911626 67367439 89823252 134734878 202102317 269469756 404204634 606306951 808409268 1212613902 2425227804