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2123602272 = 25351123761
BaseRepresentation
bin111111010010011…
…1001100101100000
312110222221011200000
41332210321211200
513322120233042
6550420100000
7103424215161
oct17644714540
95428834600
102123602272
1199a799900
124b3234600
1327ac62abc
14162071768
15c667a74c
hex7e939960

2123602272 has 432 divisors, whose sum is σ = 7185696336. Its totient is φ = 615859200.

The previous prime is 2123602267. The next prime is 2123602297. The reversal of 2123602272 is 2722063212.

2123602272 is a `hidden beast` number, since 212 + 360 + 22 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34813122 + ... + 34813182.

Almost surely, 22123602272 is an apocalyptic number.

2123602272 is a gapful number since it is divisible by the number (22) 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 2123602272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592848168).

2123602272 is an abundant number, since it is smaller than the sum of its proper divisors (5062094064).

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

2123602272 is a wasteful number, since it uses less digits than its factorization.

2123602272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2123602272 is about 46082.5593039276. The cubic root of 2123602272 is about 1285.3588548944.

Adding to 2123602272 its reverse (2722063212), we get a palindrome (4845665484).

The spelling of 2123602272 in words is "two billion, one hundred twenty-three million, six hundred two thousand, two hundred seventy-two".