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2154224632 = 2372172971157
BaseRepresentation
bin1000000001100110…
…1101101111111000
312120010112221122111
42000121231233320
513402440142012
6553432302104
7104245415200
oct20031555770
95503487574
102154224632
11a0600493a
12501541934
132843c5141
14166163400
15c91c8ba7
hex8066dbf8

2154224632 has 192 divisors, whose sum is σ = 5252299200. Its totient is φ = 821882880.

The previous prime is 2154224593. The next prime is 2154224647. The reversal of 2154224632 is 2364224512.

2154224632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2154224594 and 2154224603.

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, 13721098 + ... + 13721254.

It is an arithmetic number, because the mean of its divisors is an integer number (27355725).

Almost surely, 22154224632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154224632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626149600).

2154224632 is an abundant number, since it is smaller than the sum of its proper divisors (3098074568).

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

2154224632 is a wasteful number, since it uses less digits than its factorization.

2154224632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 283 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

The square root of 2154224632 is about 46413.6254994156. The cubic root of 2154224632 is about 1291.5076881567.

The spelling of 2154224632 in words is "two billion, one hundred fifty-four million, two hundred twenty-four thousand, six hundred thirty-two".