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4321221696 = 2634112832
BaseRepresentation
bin1000000011001000…
…01001110001000000
3102011011010210210000
410001210021301000
532322213043241
61552442440000
7212040530661
oct40144116100
912134123700
104321221696
111918242900
12a07203000
1353b33ca1c
142cdc8d368
151a4576eb6
hex101909c40

4321221696 has 315 divisors, whose sum is σ = 14251494103. Its totient is φ = 1293684480.

The previous prime is 4321221683. The next prime is 4321221731. The reversal of 4321221696 is 6961221234.

It is a happy number.

The square root of 4321221696 is 65736.

It is a perfect power (a square), and thus also a powerful number.

4321221696 is a `hidden beast` number, since 432 + 1 + 2 + 216 + 9 + 6 = 666.

It is a super-2 number, since 2×43212216962 = 37345913891962232832, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4321221696.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 52062871 + ... + 52062953.

Almost surely, 24321221696 is an apocalyptic number.

4321221696 is the 65736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4321221696

4321221696 is an abundant number, since it is smaller than the sum of its proper divisors (9930272407).

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

4321221696 is an equidigital number, since it uses as much as digits as its factorization.

4321221696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 99 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The cubic root of 4321221696 is about 1628.8040829471.

Multiplying 4321221696 by its sum of digits (36), we get a square (155563981056 = 3944162).

4321221696 divided by its sum of digits (36) gives a square (120033936 = 109562).

The spelling of 4321221696 in words is "four billion, three hundred twenty-one million, two hundred twenty-one thousand, six hundred ninety-six".