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1225270368 = 25337202591
BaseRepresentation
bin100100100001000…
…0010010001100000
310011101120011222000
41021002002101200
510002132122433
6321325444000
742235424550
oct11102022140
93141504860
101225270368
115796a6843
122a2410600
13166b0176a
14b8a2b160
157287d113
hex49082460

1225270368 has 96 divisors (see below), whose sum is σ = 4084254720. Its totient is φ = 350075520.

The previous prime is 1225270367. The next prime is 1225270391. The reversal of 1225270368 is 8630725221.

1225270368 is a `hidden beast` number, since 1 + 2 + 25 + 270 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (1225270367) 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, 95248 + ... + 107343.

It is an arithmetic number, because the mean of its divisors is an integer number (42544320).

Almost surely, 21225270368 is an apocalyptic number.

1225270368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1225270368 is an abundant number, since it is smaller than the sum of its proper divisors (2858984352).

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

1225270368 is a wasteful number, since it uses less digits than its factorization.

1225270368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202617 (or 202603 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1225270368 is about 35003.8621869073. The cubic root of 1225270368 is about 1070.0661932439.

Adding to 1225270368 its reverse (8630725221), we get a palindrome (9855995589).

The spelling of 1225270368 in words is "one billion, two hundred twenty-five million, two hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 202591 405182 607773 810364 1215546 1418137 1620728 1823319 2431092 2836274 3241456 3646638 4254411 4862184 5469957 5672548 6482912 7293276 8508822 9724368 10939914 11345096 12763233 14586552 17017644 19448736 21879828 22690192 25526466 29173104 34035288 38289699 43759656 45380384 51052932 58346208 68070576 76579398 87519312 102105864 136141152 153158796 175038624 204211728 306317592 408423456 612635184 1225270368