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2266936992 = 253233723357
BaseRepresentation
bin1000011100011110…
…1011011010100000
312211222122022221100
42013013223122200
514120313440432
61012540154400
7110114434515
oct20707533240
95758568840
102266936992
11a63699351
12533238a00
132a1869c48
1417710330c
15d404007c
hex871eb6a0

2266936992 has 72 divisors (see below), whose sum is σ = 6466008276. Its totient is φ = 753371136.

The previous prime is 2266936981. The next prime is 2266937003. The reversal of 2266936992 is 2996396622.

It is an interprime number because it is at equal distance from previous prime (2266936981) and next prime (2266937003).

It can be written as a sum of positive squares in 2 ways, for example, as 2261573136 + 5363856 = 47556^2 + 2316^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85378 + ... + 108734.

Almost surely, 22266936992 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 2266936992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233004138).

2266936992 is an abundant number, since it is smaller than the sum of its proper divisors (4199071284).

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

2266936992 is a wasteful number, since it uses less digits than its factorization.

2266936992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23710 (or 23699 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 2266936992 is about 47612.3617561658. The cubic root of 2266936992 is about 1313.6504425216.

The spelling of 2266936992 in words is "two billion, two hundred sixty-six million, nine hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 337 674 1011 1348 2022 2696 3033 4044 5392 6066 8088 10784 12132 16176 23357 24264 32352 46714 48528 70071 93428 97056 140142 186856 210213 280284 373712 420426 560568 747424 840852 1121136 1681704 2242272 3363408 6726816 7871309 15742618 23613927 31485236 47227854 62970472 70841781 94455708 125940944 141683562 188911416 251881888 283367124 377822832 566734248 755645664 1133468496 2266936992