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32227263380 = 22513293433977
BaseRepresentation
bin11110000000111001…
…010000001110010100
310002011222021121100102
4132000321100032110
51012000134412010
622445514033232
72220423135044
oct360071201624
9102158247312
1032227263380
11127384a4a74
1262b4a18818
133067950c20
1417ba181724
15c8942dba5
hex780e50394

32227263380 has 96 divisors (see below), whose sum is σ = 73375866144. Its totient is φ = 11819188224.

The previous prime is 32227263379. The next prime is 32227263389. The reversal of 32227263380 is 8336272223.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3603360784 + 28623902596 = 60028^2 + 169186^2 .

It is a super-3 number, since 3×322272633803 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32227263389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32985452 + ... + 32986428.

It is an arithmetic number, because the mean of its divisors is an integer number (764331939).

Almost surely, 232227263380 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 32227263380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36687933072).

32227263380 is an abundant number, since it is smaller than the sum of its proper divisors (41148602764).

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

32227263380 is a wasteful number, since it uses less digits than its factorization.

32227263380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 32227263380 in words is "thirty-two billion, two hundred twenty-seven million, two hundred sixty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 293 433 586 866 977 1172 1465 1732 1954 2165 2930 3809 3908 4330 4885 5629 5860 7618 8660 9770 11258 12701 15236 19045 19540 22516 25402 28145 38090 50804 56290 63505 76180 112580 126869 127010 253738 254020 286261 423041 507476 572522 634345 846082 1145044 1268690 1431305 1649297 1692164 2115205 2537380 2862610 3298594 3721393 4230410 5499533 5725220 6597188 7442786 8246485 8460820 10999066 14885572 16492970 18606965 21998132 27497665 32985940 37213930 54995330 74427860 109990660 123951013 247902026 495804052 619755065 1239510130 1611363169 2479020260 3222726338 6445452676 8056815845 16113631690 32227263380