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2225572832 = 25731794057
BaseRepresentation
bin1000010010100111…
…1000101111100000
312202002210210222102
42010221320233200
514024221312312
61004501425532
7106103025350
oct20451705740
95662723872
102225572832
11a4230689a
1252140b2a8
13296116502
14171816b60
15d05bdec2
hex84a78be0

2225572832 has 96 divisors (see below), whose sum is σ = 5235793920. Its totient is φ = 911139840.

The previous prime is 2225572793. The next prime is 2225572837. The reversal of 2225572832 is 2382755222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225572837) 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, 546548 + ... + 550604.

It is an arithmetic number, because the mean of its divisors is an integer number (54539520).

Almost surely, 22225572832 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 2225572832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617896960).

2225572832 is an abundant number, since it is smaller than the sum of its proper divisors (3010221088).

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

2225572832 is a wasteful number, since it uses less digits than its factorization.

2225572832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4176 counting only the distinct ones).

The product of its digits is 134400, while the sum is 38.

The square root of 2225572832 is about 47175.9772765758. The cubic root of 2225572832 is about 1305.6114107258.

The spelling of 2225572832 in words is "two billion, two hundred twenty-five million, five hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 79 112 124 158 217 224 248 316 434 496 553 632 868 992 1106 1264 1736 2212 2449 2528 3472 4057 4424 4898 6944 8114 8848 9796 16228 17143 17696 19592 28399 32456 34286 39184 56798 64912 68572 78368 113596 125767 129824 137144 227192 251534 274288 320503 454384 503068 548576 641006 880369 908768 1006136 1282012 1760738 2012272 2243521 2564024 3521476 4024544 4487042 5128048 7042952 8974084 9935593 10256096 14085904 17948168 19871186 28171808 35896336 39742372 69549151 71792672 79484744 139098302 158969488 278196604 317938976 556393208 1112786416 2225572832