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2275881984 = 21032435743
BaseRepresentation
bin1000011110100111…
…0011010000000000
312212121110210011100
42013221303100000
514130111210414
61013500014400
7110253451305
oct20751632000
95777423140
102275881984
11a68748902
12536231400
132a367c53c
141783910ac
15d4c0a609
hex87a73400

2275881984 has 132 divisors (see below), whose sum is σ = 6725557696. Its totient is φ = 740855808.

The previous prime is 2275881977. The next prime is 2275881991. The reversal of 2275881984 is 4891885722.

It is an interprime number because it is at equal distance from previous prime (2275881977) and next prime (2275881991).

It is a self number, because there is not a number n which added to its sum of digits gives 2275881984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393417 + ... + 399159.

Almost surely, 22275881984 is an apocalyptic number.

2275881984 is a gapful number since it is divisible by the number (24) 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 2275881984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362778848).

2275881984 is an abundant number, since it is smaller than the sum of its proper divisors (4449675712).

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

2275881984 is a wasteful number, since it uses less digits than its factorization.

2275881984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5812 (or 5791 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 2275881984 is about 47706.2048794494. The cubic root of 2275881984 is about 1315.3759971908.

The spelling of 2275881984 in words is "two billion, two hundred seventy-five million, eight hundred eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1024 1032 1152 1376 1536 1548 2064 2304 2752 3072 3096 4128 4608 5504 5743 6192 8256 9216 11008 11486 12384 16512 17229 22016 22972 24768 33024 34458 44032 45944 49536 51687 66048 68916 91888 99072 103374 132096 137832 183776 198144 206748 246949 275664 367552 396288 413496 493898 551328 735104 740847 826992 987796 1102656 1470208 1481694 1653984 1975592 2205312 2222541 2940416 2963388 3307968 3951184 4410624 4445082 5880832 5926776 6615936 7902368 8821248 8890164 11853552 13231872 15804736 17642496 17780328 23707104 26463744 31609472 35560656 47414208 52927488 63218944 71121312 94828416 126437888 142242624 189656832 252875776 284485248 379313664 568970496 758627328 1137940992 2275881984