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2123838432 = 253229254291
BaseRepresentation
bin111111010010111…
…0011001111100000
312111000101011121200
41332211303033200
513322200312212
6550425121200
7103426220532
oct17645631740
95430334550
102123838432
1199a940281
124b3329200
1327b016441
141620d3852
15c66c56dc
hex7e9733e0

2123838432 has 72 divisors (see below), whose sum is σ = 6247954440. Its totient is φ = 683531520.

The previous prime is 2123838391. The next prime is 2123838433. The reversal of 2123838432 is 2348383212.

2123838432 is a `hidden beast` number, since 212 + 3 + 8 + 3 + 8 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123838433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118794 + ... + 135497.

It is an arithmetic number, because the mean of its divisors is an integer number (86777145).

Almost surely, 22123838432 is an apocalyptic number.

It is an amenable number.

2123838432 is an abundant number, since it is smaller than the sum of its proper divisors (4124116008).

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

2123838432 is a wasteful number, since it uses less digits than its factorization.

2123838432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254336 (or 254325 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2123838432 is about 46085.1215903788. The cubic root of 2123838432 is about 1285.4065002091.

The spelling of 2123838432 in words is "two billion, one hundred twenty-three million, eight hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 254291 508582 762873 1017164 1525746 2034328 2288619 3051492 4068656 4577238 6102984 7374439 8137312 9154476 12205968 14748878 18308952 22123317 24411936 29497756 36617904 44246634 58995512 66369951 73235808 88493268 117991024 132739902 176986536 235982048 265479804 353973072 530959608 707946144 1061919216 2123838432