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2250947688 = 2331137474903
BaseRepresentation
bin1000011000101010…
…1011110001101000
312210212112222201220
42012022223301220
514102220311223
61011205342040
7106531511463
oct20612536150
95725488656
102250947688
11a55668350
12529a07920
1329b45c212
14174d402da
15d29326e3
hex862abc68

2250947688 has 128 divisors (see below), whose sum is σ = 6440325120. Its totient is φ = 649416960.

The previous prime is 2250947687. The next prime is 2250947731. The reversal of 2250947688 is 8867490522.

It is a super-2 number, since 2×22509476882 = 10133530988225090688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2250947688.

It is not an unprimeable number, because it can be changed into a prime (2250947687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456645 + ... + 461547.

It is an arithmetic number, because the mean of its divisors is an integer number (50315040).

Almost surely, 22250947688 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 2250947688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220162560).

2250947688 is an abundant number, since it is smaller than the sum of its proper divisors (4189377432).

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

2250947688 is a wasteful number, since it uses less digits than its factorization.

2250947688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 2250947688 is about 47444.1533595026. The cubic root of 2250947688 is about 1310.5546449972.

The spelling of 2250947688 in words is "two billion, two hundred fifty million, nine hundred forty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 47 66 74 88 94 111 132 141 148 188 222 264 282 296 376 407 444 517 564 814 888 1034 1128 1221 1551 1628 1739 2068 2442 3102 3256 3478 4136 4884 4903 5217 6204 6956 9768 9806 10434 12408 13912 14709 19129 19612 20868 29418 38258 39224 41736 53933 57387 58836 76516 107866 114774 117672 153032 161799 181411 215732 229548 230441 323598 362822 431464 459096 460882 544233 647196 691323 725644 921764 1088466 1294392 1382646 1451288 1843528 1995521 2176932 2534851 2765292 3991042 4353864 5069702 5530584 5986563 7604553 7982084 8526317 10139404 11973126 15209106 15964168 17052634 20278808 23946252 25578951 30418212 34105268 47892504 51157902 60836424 68210536 93789487 102315804 187578974 204631608 281368461 375157948 562736922 750315896 1125473844 2250947688