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223950738263040 = 2103353511461411
BaseRepresentation
bin110010111010111010011000…
…001100111000110000000000
31002100221111000000010202001000
4302322322120030320300000
5213323202102443404130
62112145314315412000
765112623031443265
oct6272723014706000
91070844000122030
10223950738263040
11653a2a7a402948
122114b1a1154000
1397c6605546a59
143d433b894926c
151ad571526a260
hexcbae98338c00

223950738263040 has 352 divisors, whose sum is σ = 796108895608320. Its totient is φ = 59703058022400.

The previous prime is 223950738263039. The next prime is 223950738263041. The reversal of 223950738263040 is 40362837059322.

It is a happy number.

223950738263040 is a `hidden beast` number, since 2 + 2 + 3 + 9 + 507 + 38 + 2 + 63 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (223950738263039) and next prime (223950738263041).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (223950738263041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485129935 + ... + 485591345.

Almost surely, 2223950738263040 is an apocalyptic number.

223950738263040 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 223950738263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398054447804160).

223950738263040 is an abundant number, since it is smaller than the sum of its proper divisors (572158157345280).

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

223950738263040 is a wasteful number, since it uses less digits than its factorization.

223950738263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464956 (or 464932 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 223950738263040 in words is "two hundred twenty-three trillion, nine hundred fifty billion, seven hundred thirty-eight million, two hundred sixty-three thousand, forty".