Search a number
-
+
2232038864 = 2411234911123
BaseRepresentation
bin1000010100001010…
…0011010111010000
312202112222022201002
42011002203113100
514032400220424
61005252201132
7106212005636
oct20502432720
95675868632
102232038864
11a45a22920
125236091a8
1329756b673
1417261b356
15d0e49cae
hex850a35d0

2232038864 has 80 divisors (see below), whose sum is σ = 4937255424. Its totient is φ = 967612800.

The previous prime is 2232038863. The next prime is 2232038881. The reversal of 2232038864 is 4688302322.

It is a super-3 number, since 3×22320388643 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232038863) 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, 1987007 + ... + 1988129.

Almost surely, 22232038864 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 2232038864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468627712).

2232038864 is an abundant number, since it is smaller than the sum of its proper divisors (2705216560).

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

2232038864 is a wasteful number, since it uses less digits than its factorization.

2232038864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 2232038864 is about 47244.4585533584. The cubic root of 2232038864 is about 1306.8746005108.

The spelling of 2232038864 in words is "two billion, two hundred thirty-two million, thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 491 506 982 1012 1123 1964 2024 2246 3928 4048 4492 5401 7856 8984 10802 11293 12353 17968 21604 22586 24706 25829 43208 45172 49412 51658 86416 90344 98824 103316 124223 180688 197648 206632 248446 284119 413264 496892 551393 568238 993784 1102786 1136476 1987568 2205572 2272952 4411144 4545904 6065323 8822288 12130646 12682039 24261292 25364078 48522584 50728156 97045168 101456312 139502429 202912624 279004858 558009716 1116019432 2232038864