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2193462656 = 27721131793
BaseRepresentation
bin1000001010111101…
…1001010110000000
312122212101110002122
42002233121112000
513443011301111
61001353303412
7105233060600
oct20257312600
95585343078
102193462656
11a26174a60
12512704b68
1328c582bc8
1416b458c00
15cc879cdb
hex82bd9580

2193462656 has 96 divisors (see below), whose sum is σ = 5545509480. Its totient is φ = 854568960.

The previous prime is 2193462641. The next prime is 2193462659. The reversal of 2193462656 is 6562643912.

It is a super-2 number, since 2×21934626562 = 9622556846533148672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193462659) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 53096 + ... + 84888.

Almost surely, 22193462656 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 2193462656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772754740).

2193462656 is an abundant number, since it is smaller than the sum of its proper divisors (3352046824).

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

2193462656 is a wasteful number, since it uses less digits than its factorization.

2193462656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31832 (or 31813 counting only the distinct ones).

The product of its digits is 466560, while the sum is 44.

The square root of 2193462656 is about 46834.4174299201. The cubic root of 2193462656 is about 1299.3019242272.

The spelling of 2193462656 in words is "two billion, one hundred ninety-three million, four hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 308 352 392 448 539 616 704 784 896 1078 1232 1408 1568 2156 2464 3136 4312 4928 6272 8624 9856 17248 31793 34496 63586 68992 127172 222551 254344 349723 445102 508688 699446 890204 1017376 1398892 1557857 1780408 2034752 2448061 2797784 3115714 3560816 4069504 4896122 5595568 6231428 7121632 9792244 11191136 12462856 14243264 17136427 19584488 22382272 24925712 28486528 34272854 39168976 44764544 49851424 68545708 78337952 99702848 137091416 156675904 199405696 274182832 313351808 548365664 1096731328 2193462656