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233222130120 = 23357312288913
BaseRepresentation
bin1101100100110100011…
…1110100100111001000
3211021222122120202110010
43121031013310213020
512310114331130440
6255050223351520
722564314253140
oct3311507644710
9737878522403
10233222130120
118a9aa8a3291
12392497525a0
1318cba100935
14b406435920
1560eedbd580
hex364d1f49c8

233222130120 has 192 divisors, whose sum is σ = 826247813760. Its totient is φ = 51588126720.

The previous prime is 233222130109. The next prime is 233222130131. The reversal of 233222130120 is 21031222332.

It is a happy number.

233222130120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233222130109) and next prime (233222130131).

It is a super-2 number, since 2×2332221301202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662784 + ... + 951696.

It is an arithmetic number, because the mean of its divisors is an integer number (4303374030).

Almost surely, 2233222130120 is an apocalyptic number.

233222130120 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 233222130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413123906880).

233222130120 is an abundant number, since it is smaller than the sum of its proper divisors (593025683640).

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

233222130120 is a wasteful number, since it uses less digits than its factorization.

233222130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288996 (or 288961 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 233222130120 its reverse (21031222332), we get a palindrome (254253352452).

The spelling of 233222130120 in words is "two hundred thirty-three billion, two hundred twenty-two million, one hundred thirty thousand, one hundred twenty".