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2200442496 = 27373126407
BaseRepresentation
bin1000001100101000…
…0001011010000000
312200100112001122020
42003022001122000
514001303124441
61002203041440
7105346311150
oct20312013200
95610461566
102200442496
11a2a10201a
12514b10280
13290b57ba5
1416c354760
15cd2a7e66
hex83281680

2200442496 has 128 divisors (see below), whose sum is σ = 6895656960. Its totient is φ = 608394240.

The previous prime is 2200442479. The next prime is 2200442507. The reversal of 2200442496 is 6942440022.

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

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, 70125 + ... + 96531.

It is an arithmetic number, because the mean of its divisors is an integer number (53872320).

Almost surely, 22200442496 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 2200442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447828480).

2200442496 is an abundant number, since it is smaller than the sum of its proper divisors (4695214464).

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

2200442496 is a wasteful number, since it uses less digits than its factorization.

2200442496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26462 (or 26450 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2200442496 is about 46908.8743842783. The cubic root of 2200442496 is about 1300.6786389624.

The spelling of 2200442496 in words is "two billion, two hundred million, four hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 10416 11904 13888 20832 26407 27776 41664 52814 79221 83328 105628 158442 184849 211256 316884 369698 422512 554547 633768 739396 818617 845024 1109094 1267536 1478792 1637234 1690048 2218188 2455851 2535072 2957584 3274468 3380096 4436376 4911702 5070144 5730319 5915168 6548936 8872752 9823404 10140288 11460638 11830336 13097872 17190957 17745504 19646808 22921276 23660672 26195744 34381914 35491008 39293616 45842552 52391488 68763828 70982016 78587232 91685104 104782976 137527656 157174464 183370208 275055312 314348928 366740416 550110624 733480832 1100221248 2200442496