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1225512972 = 2232294332711
BaseRepresentation
bin100100100001011…
…1101100000001100
310011102000111202100
41021002331200030
510002212403342
6321334555100
742240455055
oct11102754014
93142014670
101225512972
11579852042
122a2508a90
13166b88008
14b8a9172c
15728c9e4c
hex490bd80c

1225512972 has 72 divisors (see below), whose sum is σ = 3213231840. Its totient is φ = 393361920.

The previous prime is 1225512971. The next prime is 1225512973. The reversal of 1225512972 is 2792155221.

1225512972 is a `hidden beast` number, since 12 + 2 + 551 + 2 + 97 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1225512971) and next prime (1225512973).

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

It is not an unprimeable number, because it can be changed into a prime (1225512971) 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, 450697 + ... + 453407.

It is an arithmetic number, because the mean of its divisors is an integer number (44628220).

Almost surely, 21225512972 is an apocalyptic number.

1225512972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225512972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606615920).

1225512972 is an abundant number, since it is smaller than the sum of its proper divisors (1987718868).

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

1225512972 is a wasteful number, since it uses less digits than its factorization.

1225512972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3178 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 1225512972 is about 35007.3274044164. The cubic root of 1225512972 is about 1070.1368130880.

The spelling of 1225512972 in words is "one billion, two hundred twenty-five million, five hundred twelve thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 433 522 866 1044 1299 1732 2598 2711 3897 5196 5422 7794 8133 10844 12557 15588 16266 24399 25114 32532 37671 48798 50228 75342 78619 97596 113013 150684 157238 226026 235857 314476 452052 471714 707571 943428 1173863 1415142 2347726 2830284 3521589 4695452 7043178 10564767 14086356 21129534 34042027 42259068 68084054 102126081 136168108 204252162 306378243 408504324 612756486 1225512972