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2245040644 = 22741179269
BaseRepresentation
bin1000010111010000…
…1001101000000100
312210110102212210111
42011310021220010
514044212300034
61010435002404
7106430350000
oct20564115004
95713385714
102245040644
11a522a32a0
12527a39404
1329a171622
14174243700
15d2167364
hex85d09a04

2245040644 has 120 divisors (see below), whose sum is σ = 5082134400. Its totient is φ = 860408640.

The previous prime is 2245040639. The next prime is 2245040711. The reversal of 2245040644 is 4460405422.

It is a happy number.

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, 8345742 + ... + 8346010.

It is an arithmetic number, because the mean of its divisors is an integer number (42351120).

Almost surely, 22245040644 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 2245040644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541067200).

2245040644 is an abundant number, since it is smaller than the sum of its proper divisors (2837093756).

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

2245040644 is a wasteful number, since it uses less digits than its factorization.

2245040644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 2245040644 is about 47381.8598621878. The cubic root of 2245040644 is about 1309.4072341003.

The spelling of 2245040644 in words is "two billion, two hundred forty-five million, forty thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 79 98 154 158 196 269 308 316 343 538 539 553 686 869 1076 1078 1106 1372 1738 1883 2156 2212 2401 2959 3476 3766 3773 3871 4802 5918 6083 7532 7546 7742 9604 11836 12166 13181 15092 15484 20713 21251 24332 26362 26411 27097 41426 42502 42581 52724 52822 54194 82852 85004 85162 92267 105644 108388 144991 148757 170324 184534 189679 233761 289982 297514 298067 369068 379358 467522 579964 595028 596134 645869 758716 935044 1014937 1041299 1192268 1291738 1636327 2029874 2082598 2086469 2583476 3272654 4059748 4165196 4172938 6545308 7104559 7289093 8345876 11454289 14209118 14578186 22908578 28418236 29156372 45817156 51023651 80180023 102047302 160360046 204094604 320720092 561260161 1122520322 2245040644