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2299542952 = 23721012412
BaseRepresentation
bin1000100100010000…
…0011110110101000
312221020222212220111
42021010003312220
514202140333302
61020103104104
7110661535600
oct21104036650
95836885814
102299542952
11a80039723
12542142034
132a8545105
1417b58dc00
15d6d310d7
hex89103da8

2299542952 has 72 divisors (see below), whose sum is σ = 5086348830. Its totient is φ = 971712000.

The previous prime is 2299542943. The next prime is 2299542983. The reversal of 2299542952 is 2592459922.

It can be written as a sum of positive squares in 3 ways, for example, as 2237857636 + 61685316 = 47306^2 + 7854^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 2299542896 and 2299542905.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9541552 + ... + 9541792.

Almost surely, 22299542952 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 2299542952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543174415).

2299542952 is an abundant number, since it is smaller than the sum of its proper divisors (2786805878).

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

2299542952 is a wasteful number, since it uses less digits than its factorization.

2299542952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 351 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 49.

The square root of 2299542952 is about 47953.5499415841. The cubic root of 2299542952 is about 1319.9186803286.

The spelling of 2299542952 in words is "two billion, two hundred ninety-nine million, five hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 241 392 404 482 707 808 964 1414 1687 1928 2828 3374 4949 5656 6748 9898 11809 13496 19796 23618 24341 39592 47236 48682 58081 94472 97364 116162 170387 194728 232324 340774 406567 464648 681548 813134 1192709 1363096 1626268 2385418 2845969 3252536 4770836 5691938 5866181 9541672 11383876 11732362 22767752 23464724 41063267 46929448 82126534 164253068 287442869 328506136 574885738 1149771476 2299542952