Search a number
-
+
2269187328 = 28319155509
BaseRepresentation
bin1000011101000001…
…0000110100000000
312212010212122211010
42013100100310000
514121402443303
61013100320520
7110142526332
oct20720206400
95763778733
102269187328
11a64996031
12533b43140
132a21772c5
1417752b452
15d4336c03
hex87410d00

2269187328 has 72 divisors (see below), whose sum is σ = 6357248800. Its totient is φ = 716580864.

The previous prime is 2269187311. The next prime is 2269187329. The reversal of 2269187328 is 8237819622.

It is a super-2 number, since 2×22691873282 = 10298422259111559168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2269187329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63163 + ... + 92346.

Almost surely, 22269187328 is an apocalyptic number.

It is an amenable number.

2269187328 is an abundant number, since it is smaller than the sum of its proper divisors (4088061472).

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

2269187328 is a wasteful number, since it uses less digits than its factorization.

2269187328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155547 (or 155533 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 2269187328 is about 47635.9877403629. The cubic root of 2269187328 is about 1314.0849755887.

It can be divided in two parts, 2269187 and 328, that added together give a triangular number (2269515 = T2130).

The spelling of 2269187328 in words is "two billion, two hundred sixty-nine million, one hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 14592 155509 311018 466527 622036 933054 1244072 1866108 2488144 2954671 3732216 4976288 5909342 7464432 8864013 9952576 11818684 14928864 17728026 19905152 23637368 29857728 35456052 39810304 47274736 59715456 70912104 94549472 119430912 141824208 189098944 283648416 378197888 567296832 756395776 1134593664 2269187328