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2252303664 = 243133797553
BaseRepresentation
bin1000011000111111…
…0110110100110000
312210222002212210020
42012033312310300
514103042204124
61011254403440
7106546156662
oct20617666460
95728085706
102252303664
11a56404096
1252a360580
1329b815480
141751b4532
15d2aee379
hex863f6d30

2252303664 has 80 divisors (see below), whose sum is σ = 6435442272. Its totient is φ = 674279424.

The previous prime is 2252303663. The next prime is 2252303693. The reversal of 2252303664 is 4663032522.

2252303664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2252303663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25689 + ... + 71864.

Almost surely, 22252303664 is an apocalyptic number.

2252303664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2252303664 is an abundant number, since it is smaller than the sum of its proper divisors (4183138608).

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

2252303664 is a wasteful number, since it uses less digits than its factorization.

2252303664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97614 (or 97608 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 2252303664 is about 47458.4414409070. The cubic root of 2252303664 is about 1310.8177525371.

The spelling of 2252303664 in words is "two billion, two hundred fifty-two million, three hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2886 3848 5772 7696 11544 23088 97553 195106 292659 390212 585318 780424 1170636 1268189 1560848 2341272 2536378 3609461 3804567 4682544 5072756 7218922 7609134 10145512 10828383 14437844 15218268 20291024 21656766 28875688 30436536 43313532 46922993 57751376 60873072 86627064 93845986 140768979 173254128 187691972 281537958 375383944 563075916 750767888 1126151832 2252303664