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2250648480 = 25355937907
BaseRepresentation
bin1000011000100110…
…0010101110100000
312210211222210022010
42012021202232200
514102131222410
61011155112520
7106526124243
oct20611425640
95724883263
102250648480
11a55483573
125298a2740
1329b385c82
14174ca325a
15d28c3c20
hex86262ba0

2250648480 has 96 divisors (see below), whose sum is σ = 7102396224. Its totient is φ = 599085056.

The previous prime is 2250648451. The next prime is 2250648493. The reversal of 2250648480 is 848460522.

It is a Cunningham number, because it is equal to 474412-1.

It is a tau number, because it is divible by the number of its divisors (96).

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, 280687 + ... + 288593.

It is an arithmetic number, because the mean of its divisors is an integer number (73983294).

Almost surely, 22250648480 is an apocalyptic number.

2250648480 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 2250648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551198112).

2250648480 is an abundant number, since it is smaller than the sum of its proper divisors (4851747744).

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

2250648480 is a wasteful number, since it uses less digits than its factorization.

2250648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8518 (or 8510 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 2250648480 is about 47440.9999894606. Note that the first 4 decimals coincide. The cubic root of 2250648480 is about 1310.4965737809.

The spelling of 2250648480 in words is "two billion, two hundred fifty million, six hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 593 1186 1779 2372 2965 3558 4744 5930 7116 7907 8895 9488 11860 14232 15814 17790 18976 23720 23721 28464 31628 35580 39535 47440 47442 56928 63256 71160 79070 94880 94884 118605 126512 142320 158140 189768 237210 253024 284640 316280 379536 474420 632560 759072 948840 1265120 1897680 3795360 4688851 9377702 14066553 18755404 23444255 28133106 37510808 46888510 56266212 70332765 75021616 93777020 112532424 140665530 150043232 187554040 225064848 281331060 375108080 450129696 562662120 750216160 1125324240 2250648480