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5222261376 = 27338771723
BaseRepresentation
bin1001101110100010…
…10110001010000000
3111110221121100212000
410313101112022000
541143344331001
62222111104000
7243261326553
oct46721261200
914427540760
105222261376
11223a9152a2
121018b12000
13652c0b6b7
143777da69a
1520870ba86
hex137456280

5222261376 has 128 divisors (see below), whose sum is σ = 15439454400. Its totient is φ = 1737759744.

The previous prime is 5222261339. The next prime is 5222261393. The reversal of 5222261376 is 6731622225.

5222261376 is a `hidden beast` number, since 5 + 2 + 22 + 261 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×52222613762 = 54544027758522826752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5222261376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3030051 + ... + 3031773.

Almost surely, 25222261376 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 5222261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719727200).

5222261376 is an abundant number, since it is smaller than the sum of its proper divisors (10217193024).

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

5222261376 is a wasteful number, since it uses less digits than its factorization.

5222261376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2605 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 5222261376 is about 72265.2155327859. The cubic root of 5222261376 is about 1734.9469570498.

The spelling of 5222261376 in words is "five billion, two hundred twenty-two million, two hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 877 1152 1723 1728 1754 2631 3446 3456 3508 5169 5262 6892 7016 7893 10338 10524 13784 14032 15507 15786 20676 21048 23679 27568 28064 31014 31572 41352 42096 46521 47358 55136 56128 62028 63144 82704 84192 93042 94716 110272 112256 124056 126288 165408 168384 186084 189432 220544 248112 252576 330816 336768 372168 378864 496224 505152 661632 744336 757728 992448 1010304 1488672 1511071 1515456 1984896 2977344 3022142 3030912 4533213 5954688 6044284 9066426 12088568 13599639 18132852 24177136 27199278 36265704 40798917 48354272 54398556 72531408 81597834 96708544 108797112 145062816 163195668 193417088 217594224 290125632 326391336 435188448 580251264 652782672 870376896 1305565344 1740753792 2611130688 5222261376