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2256600432 = 2432913711833
BaseRepresentation
bin1000011010000000…
…1111110101110000
312211021012011211210
42012200033311300
514110142203212
61011530440120
7106630534002
oct20640176560
95737164753
102256600432
11a58879339
1252b893040
1329c68b138
141759b2372
15d319c53c
hex8680fd70

2256600432 has 80 divisors (see below), whose sum is σ = 6075102240. Its totient is φ = 720900096.

The previous prime is 2256600427. The next prime is 2256600433. The reversal of 2256600432 is 2340066522.

It is a self number, because there is not a number n which added to its sum of digits gives 2256600432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256600433) 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, 184788 + ... + 196620.

It is an arithmetic number, because the mean of its divisors is an integer number (75938778).

Almost surely, 22256600432 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 2256600432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037551120).

2256600432 is an abundant number, since it is smaller than the sum of its proper divisors (3818501808).

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

2256600432 is a wasteful number, since it uses less digits than its factorization.

2256600432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12010 (or 12004 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2256600432 is about 47503.6886146750. The cubic root of 2256600432 is about 1311.6507814113.

Adding to 2256600432 its reverse (2340066522), we get a palindrome (4596666954).

The spelling of 2256600432 in words is "two billion, two hundred fifty-six million, six hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 137 174 232 274 348 411 464 548 696 822 1096 1392 1644 2192 3288 3973 6576 7946 11833 11919 15892 23666 23838 31784 35499 47332 47676 63568 70998 94664 95352 141996 189328 190704 283992 343157 567984 686314 1029471 1372628 1621121 2058942 2745256 3242242 4117884 4863363 5490512 6484484 8235768 9726726 12968968 16471536 19453452 25937936 38906904 47012509 77813808 94025018 141037527 188050036 282075054 376100072 564150108 752200144 1128300216 2256600432