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1145222631 = 3473779691
BaseRepresentation
bin100010001000010…
…1011010111100111
32221210221100010000
41010100223113213
54321134111011
6305350032343
740244142330
oct10420532747
92853840100
101145222631
115384a2793
1227b6486b3
13153355737
14ac151287
156a81a356
hex4442b5e7

1145222631 has 80 divisors (see below), whose sum is σ = 2036362240. Its totient is φ = 627756480.

The previous prime is 1145222623. The next prime is 1145222641. The reversal of 1145222631 is 1362225411.

1145222631 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 22 + 631 = 666.

It is not a de Polignac number, because 1145222631 - 23 = 1145222623 is a prime.

It is a super-2 number, since 2×11452226312 = 2623069749109124322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1145222595 and 1145222604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145222621) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1656996 + ... + 1657686.

It is an arithmetic number, because the mean of its divisors is an integer number (25454528).

Almost surely, 21145222631 is an apocalyptic number.

1145222631 is a deficient number, since it is larger than the sum of its proper divisors (891139609).

1145222631 is an equidigital number, since it uses as much as digits as its factorization.

1145222631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 817 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1145222631 is about 33841.1381457539. The cubic root of 1145222631 is about 1046.2367570683.

The spelling of 1145222631 in words is "one billion, one hundred forty-five million, two hundred twenty-two thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 27 37 63 79 81 111 189 237 259 333 553 567 691 711 777 999 1659 2073 2133 2331 2923 2997 4837 4977 6219 6399 6993 8769 14511 14931 18657 20461 20979 25567 26307 43533 44793 54589 55971 61383 76701 78921 130599 163767 178969 184149 230103 236763 382123 391797 491301 536907 552447 690309 1146369 1473903 1610721 1657341 2019793 2070927 3439107 4421709 4832163 6059379 10317321 14138551 14496489 18178137 30951963 42415653 54534411 127246959 163603233 381740877 1145222631