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2230398537600 = 273522927132953
BaseRepresentation
bin100000011101001110000…
…111001100111110000000
321220020001022100020122110
4200131032013030332000
5243020324011200400
64424344141135320
7320066232522102
oct40351607147600
97806038306573
102230398537600
1178a9a7912232
12300323b5a540
131324306973ac
1479d47cbd572
153d040050e50
hex2074e1ccf80

2230398537600 has 384 divisors, whose sum is σ = 7605074181600. Its totient is φ = 573857464320.

The previous prime is 2230398537581. The next prime is 2230398537611. The reversal of 2230398537600 is 67358930322.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×22303985376002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2230398537600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755297724 + ... + 755300676.

Almost surely, 22230398537600 is an apocalyptic number.

2230398537600 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 2230398537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802537090800).

2230398537600 is an abundant number, since it is smaller than the sum of its proper divisors (5374675644000).

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

2230398537600 is a wasteful number, since it uses less digits than its factorization.

2230398537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5722 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 2230398537600 in words is "two trillion, two hundred thirty billion, three hundred ninety-eight million, five hundred thirty-seven thousand, six hundred".