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2122357344 = 253292293329
BaseRepresentation
bin111111010000000…
…1001101001100000
312110220120220221120
41332200021221200
513321310413334
6550333252240
7103410511512
oct17640115140
95426526846
102122357344
1199a019538
124b2934080
1327a918263
14161c29bb2
15c64d1949
hex7e809a60

2122357344 has 96 divisors (see below), whose sum is σ = 5790204000. Its totient is φ = 679870464.

The previous prime is 2122357343. The next prime is 2122357351. The reversal of 2122357344 is 4437532212.

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 (2122357343) 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 15 ways as a sum of consecutive naturals, for example, 635872 + ... + 639200.

It is an arithmetic number, because the mean of its divisors is an integer number (60314625).

Almost surely, 22122357344 is an apocalyptic number.

2122357344 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 2122357344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895102000).

2122357344 is an abundant number, since it is smaller than the sum of its proper divisors (3667846656).

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

2122357344 is a wasteful number, since it uses less digits than its factorization.

2122357344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3592 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 2122357344 is about 46069.0497405796. The cubic root of 2122357344 is about 1285.1076320792.

Adding to 2122357344 its reverse (4437532212), we get a palindrome (6559889556).

The spelling of 2122357344 in words is "two billion, one hundred twenty-two million, three hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 229 232 348 458 464 687 696 916 928 1374 1392 1832 2748 2784 3329 3664 5496 6641 6658 7328 9987 10992 13282 13316 19923 19974 21984 26564 26632 39846 39948 53128 53264 79692 79896 96541 106256 106528 159384 159792 193082 212512 289623 318768 319584 386164 579246 637536 762341 772328 1158492 1524682 1544656 2287023 2316984 3049364 3089312 4574046 4633968 6098728 9148092 9267936 12197456 18296184 22107889 24394912 36592368 44215778 66323667 73184736 88431556 132647334 176863112 265294668 353726224 530589336 707452448 1061178672 2122357344