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2122945464 = 2332911326993
BaseRepresentation
bin111111010001001…
…1001001110111000
312110221200210200210
41332202121032320
513321433223324
6550354031120
7103415511243
oct17642311670
95427623623
102122945464
1199a390392
124b2b784a0
1327aa92b63
14161d4025a
15c659ad29
hex7e8993b8

2122945464 has 64 divisors (see below), whose sum is σ = 5539168800. Its totient is φ = 677175296.

The previous prime is 2122945457. The next prime is 2122945469. The reversal of 2122945464 is 4645492212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122945469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65152 + ... + 92144.

Almost surely, 22122945464 is an apocalyptic number.

2122945464 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 2122945464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769584400).

2122945464 is an abundant number, since it is smaller than the sum of its proper divisors (3416223336).

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

2122945464 is a wasteful number, since it uses less digits than its factorization.

2122945464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27144 (or 27140 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 2122945464 is about 46075.4323256983. The cubic root of 2122945464 is about 1285.2263252077.

The spelling of 2122945464 in words is "two billion, one hundred twenty-two million, nine hundred forty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 113 116 174 226 232 339 348 452 678 696 904 1356 2712 3277 6554 9831 13108 19662 26216 26993 39324 53986 78648 80979 107972 161958 215944 323916 647832 782797 1565594 2348391 3050209 3131188 4696782 6100418 6262376 9150627 9393564 12200836 18301254 18787128 24401672 36602508 73205016 88456061 176912122 265368183 353824244 530736366 707648488 1061472732 2122945464