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1226234880 = 210325132389
BaseRepresentation
bin100100100010110…
…1101110000000000
310011110101012000200
41021011231300000
510002404004010
6321402245200
742246552543
oct11105556000
93143335020
101226234880
1157a1a5462
122a27b6800
1316707b790
14b8bdc85a
15729bdcc0
hex4916dc00

1226234880 has 528 divisors, whose sum is σ = 4828299840. Its totient is φ = 285474816.

The previous prime is 1226234833. The next prime is 1226234897. The reversal of 1226234880 is 884326221.

1226234880 is a `hidden beast` number, since 1 + 22 + 623 + 4 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×12262348802 = 3007303961857228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13777876 + ... + 13777964.

Almost surely, 21226234880 is an apocalyptic number.

1226234880 is a gapful number since it is divisible by the number (10) 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 1226234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414149920).

1226234880 is an abundant number, since it is smaller than the sum of its proper divisors (3602064960).

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

1226234880 is a wasteful number, since it uses less digits than its factorization.

1226234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1226234880 is about 35017.6366992406. The cubic root of 1226234880 is about 1070.3468989054.

The spelling of 1226234880 in words is "one billion, two hundred twenty-six million, two hundred thirty-four thousand, eight hundred eighty".