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2022293952 = 26347232423
BaseRepresentation
bin111100010001001…
…1100000111000000
312012221022011210000
41320202130013000
513120201401302
6532400440000
7101054133510
oct17042340700
95187264700
102022293952
11948594418
12485319000
13262c81953
1415281d840
15bc81831c
hex7889c1c0

2022293952 has 280 divisors, whose sum is σ = 7151924736. Its totient is φ = 552448512.

The previous prime is 2022293879. The next prime is 2022293969. The reversal of 2022293952 is 2593922202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 833413 + ... + 835835.

Almost surely, 22022293952 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 2022293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575962368).

2022293952 is an abundant number, since it is smaller than the sum of its proper divisors (5129630784).

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

2022293952 is a wasteful number, since it uses less digits than its factorization.

2022293952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2022293952 is about 44969.9227484326. The cubic root of 2022293952 is about 1264.5851987696.

The spelling of 2022293952 in words is "two billion, twenty-two million, two hundred ninety-three thousand, nine hundred fifty-two".