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22326630480 = 243357211127151
BaseRepresentation
bin10100110010110001…
…010101100001010000
32010121222111100021000
4110302301111201100
5331211104133410
614131241102000
71420163141100
oct246261254120
963558440230
1022326630480
119517889a30
1243b1187900
13214a71516b
14111b2c7200
158aa14cdc0
hex532c55850

22326630480 has 960 divisors, whose sum is σ = 99010805760. Its totient is φ = 4572288000.

The previous prime is 22326630479. The next prime is 22326630533. The reversal of 22326630480 is 8403662322.

22326630480 is a `hidden beast` number, since 22 + 326 + 6 + 304 + 8 + 0 = 666.

It is a super-3 number, since 3×223266304803 (a number of 32 digits) contains 333 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147858405 + ... + 147858555.

It is an arithmetic number, because the mean of its divisors is an integer number (103136256).

Almost surely, 222326630480 is an apocalyptic number.

22326630480 is a gapful number since it is divisible by the number (20) 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 22326630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49505402880).

22326630480 is an abundant number, since it is smaller than the sum of its proper divisors (76684175280).

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

22326630480 is a wasteful number, since it uses less digits than its factorization.

22326630480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 22326630480 in words is "twenty-two billion, three hundred twenty-six million, six hundred thirty thousand, four hundred eighty".