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2280259680 = 253537128393
BaseRepresentation
bin1000011111101010…
…0000000001100000
312212220201012020020
42013322200001200
514132221302210
61014133513440
7110335613256
oct20772400140
95786635206
102280259680
11a70168936
125377a2880
132a4552caa
14178bb05d6
15d52c2770
hex87ea0060

2280259680 has 96 divisors (see below), whose sum is σ = 7377005664. Its totient is φ = 591630336.

The previous prime is 2280259669. The next prime is 2280259687. The reversal of 2280259680 is 869520822.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280259687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46437 + ... + 81956.

It is an arithmetic number, because the mean of its divisors is an integer number (76843809).

Almost surely, 22280259680 is an apocalyptic number.

2280259680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2280259680 is an abundant number, since it is smaller than the sum of its proper divisors (5096745984).

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

2280259680 is a wasteful number, since it uses less digits than its factorization.

2280259680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128448 (or 128440 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2280259680 is about 47752.0646674047. The cubic root of 2280259680 is about 1316.2188393872.

It can be divided in two parts, 228025 and 9680, that added together give a triangular number (237705 = T689).

The spelling of 2280259680 in words is "two billion, two hundred eighty million, two hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 128393 256786 385179 513572 641965 770358 1027144 1283930 1540716 1925895 2054288 2567860 3081432 3851790 4108576 4750541 5135720 6162864 7703580 9501082 10271440 12325728 14251623 15407160 19002164 20542880 23752705 28503246 30814320 38004328 47505410 57006492 61628640 71258115 76008656 95010820 114012984 142516230 152017312 190021640 228025968 285032460 380043280 456051936 570064920 760086560 1140129840 2280259680