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2261401352 = 23729759473
BaseRepresentation
bin1000011011001010…
…0011111100001000
312211121020002110122
42012302203330020
514112404320402
61012221402412
7110016410600
oct20662437410
95747202418
102261401352
11a60558341
12531409408
132a067c412
141764a1c00
15d37e9ca2
hex86ca3f08

2261401352 has 48 divisors (see below), whose sum is σ = 4983326460. Its totient is φ = 959164416.

The previous prime is 2261401343. The next prime is 2261401367. The reversal of 2261401352 is 2531041622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2251122916 + 10278436 = 47446^2 + 3206^2 .

It is a super-2 number, since 2×22614013522 = 10227872149654855808, which contains 22 as substring.

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, 8288 + ... + 67760.

Almost surely, 22261401352 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 2261401352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491663230).

2261401352 is an abundant number, since it is smaller than the sum of its proper divisors (2721925108).

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

2261401352 is a wasteful number, since it uses less digits than its factorization.

2261401352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59590 (or 59579 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2261401352 is about 47554.1938423942. The cubic root of 2261401352 is about 1312.5803020498.

Adding to 2261401352 its reverse (2531041622), we get a palindrome (4792442974).

The spelling of 2261401352 in words is "two billion, two hundred sixty-one million, four hundred one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 97 98 194 196 388 392 679 776 1358 2716 4753 5432 9506 19012 38024 59473 118946 237892 416311 475784 832622 1665244 2914177 3330488 5768881 5828354 11537762 11656708 23075524 23313416 40382167 46151048 80764334 161528668 282675169 323057336 565350338 1130700676 2261401352