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2921222640 = 2435719232173
BaseRepresentation
bin1010111000011110…
…0101000111110000
321112120210111010010
42232013211013300
521440313111030
61201511534520
7132250661040
oct25607450760
97476714103
102921222640
111269a54896
1269638a440
1337729180b
141d9d7b720
151216d26b0
hexae1e51f0

2921222640 has 480 divisors, whose sum is σ = 11454266880. Its totient is φ = 601565184.

The previous prime is 2921222611. The next prime is 2921222683. The reversal of 2921222640 is 462221292.

2921222640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2921222598 and 2921222607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16885594 + ... + 16885766.

It is an arithmetic number, because the mean of its divisors is an integer number (23863056).

Almost surely, 22921222640 is an apocalyptic number.

2921222640 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 2921222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5727133440).

2921222640 is an abundant number, since it is smaller than the sum of its proper divisors (8533044240).

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

2921222640 is a wasteful number, since it uses less digits than its factorization.

2921222640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2921222640 is about 54048.3361446030. The cubic root of 2921222640 is about 1429.5133623769.

The spelling of 2921222640 in words is "two billion, nine hundred twenty-one million, two hundred twenty-two thousand, six hundred forty".