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2322074952 = 23366312
BaseRepresentation
bin1000101001101000…
…0000110101001000
312222211101122000000
42022122000311020
514223422344302
61022230043000
7111354211551
oct21232006510
95884348000
102322074952
11a9182930a
125497a9460
132b0103b62
14180577328
15d8cd231c
hex8a680d48

2322074952 has 84 divisors (see below), whose sum is σ = 6538211235. Its totient is φ = 772798320.

The previous prime is 2322074947. The next prime is 2322074957. The reversal of 2322074952 is 2594702232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2322074947) and next prime (2322074957).

It can be written as a sum of positive squares in only one way, i.e., 1161037476 + 1161037476 = 34074^2 + 34074^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=34074.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2322074957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3679677 + ... + 3680307.

Almost surely, 22322074952 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 2322074952

2322074952 is an abundant number, since it is smaller than the sum of its proper divisors (4216136283).

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

2322074952 is an frugal number, since it uses more digits than its factorization.

2322074952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2322074952 is about 48187.9129243008. The cubic root of 2322074952 is about 1324.2157365767.

The spelling of 2322074952 in words is "two billion, three hundred twenty-two million, seventy-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 631 648 729 972 1262 1458 1893 1944 2524 2916 3786 5048 5679 5832 7572 11358 15144 17037 22716 34074 45432 51111 68148 102222 136296 153333 204444 306666 398161 408888 459999 613332 796322 919998 1194483 1226664 1592644 1839996 2388966 3185288 3583449 3679992 4777932 7166898 9555864 10750347 14333796 21500694 28667592 32251041 43001388 64502082 86002776 96753123 129004164 193506246 258008328 290259369 387012492 580518738 774024984 1161037476 2322074952