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1226307132 = 223237920651
BaseRepresentation
bin100100100010111…
…1111011000111100
310011110111212010200
41021011333120330
510002413312012
6321404003500
742250303311
oct11105773074
93143455120
101226307132
1157a244776
122a2830590
131670a562b
14b8c1ad08
15729d53dc
hex4917f63c

1226307132 has 36 divisors (see below), whose sum is σ = 3183614616. Its totient is φ = 397720800.

The previous prime is 1226307119. The next prime is 1226307143. The reversal of 1226307132 is 2317036221.

1226307132 is a `hidden beast` number, since 1 + 22 + 630 + 7 + 1 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×12263071323 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1226307096 and 1226307105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 458994 + ... + 461657.

Almost surely, 21226307132 is an apocalyptic number.

1226307132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1226307132 is an abundant number, since it is smaller than the sum of its proper divisors (1957307484).

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

1226307132 is a wasteful number, since it uses less digits than its factorization.

1226307132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920698 (or 920693 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1226307132 is about 35018.6683356178. The cubic root of 1226307132 is about 1070.3679207577.

The spelling of 1226307132 in words is "one billion, two hundred twenty-six million, three hundred seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 920651 1841302 2761953 3682604 5523906 8285859 11047812 16571718 33143436 34064087 68128174 102192261 136256348 204384522 306576783 408769044 613153566 1226307132