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2256022548 = 22321319324977
BaseRepresentation
bin1000011001111000…
…0010110000010100
312211020002211010200
42012132002300110
514110020210143
61011510220500
7106622606133
oct20636026024
95736084120
102256022548
11a5851414a
1252b654730
1329c5180b0
141758a191a
15d30d61d3
hex86782c14

2256022548 has 72 divisors (see below), whose sum is σ = 6173462568. Its totient is φ = 690536448.

The previous prime is 2256022547. The next prime is 2256022579. The reversal of 2256022548 is 8452206522.

2256022548 is a `hidden beast` number, since 2 + 2 + 5 + 602 + 2 + 5 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 153066384 + 2102956164 = 12372^2 + 45858^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256022541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77836 + ... + 102812.

Almost surely, 22256022548 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 2256022548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086731284).

2256022548 is an abundant number, since it is smaller than the sum of its proper divisors (3917440020).

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

2256022548 is a wasteful number, since it uses less digits than its factorization.

2256022548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25193 (or 25188 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2256022548 is about 47497.6057080775. The cubic root of 2256022548 is about 1311.5388066754.

It can be divided in two parts, 225602 and 2548, that added together give a triangular number (228150 = T675).

The spelling of 2256022548 in words is "two billion, two hundred fifty-six million, twenty-two thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 193 234 386 468 579 772 1158 1737 2316 2509 3474 5018 6948 7527 10036 15054 22581 24977 30108 45162 49954 74931 90324 99908 149862 224793 299724 324701 449586 649402 899172 974103 1298804 1948206 2922309 3896412 4820561 5844618 9641122 11689236 14461683 19282244 28923366 43385049 57846732 62667293 86770098 125334586 173540196 188001879 250669172 376003758 564005637 752007516 1128011274 2256022548