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977000022 = 233372412029
BaseRepresentation
bin111010001110111…
…101011001010110
32112002101202002000
4322032331121112
54000103000042
6240540300130
733132235365
oct7216753126
92462352060
10977000022
11461544639
12233241646
1312754642b
1493a817dc
155ab8b74c
hex3a3bd656

977000022 has 64 divisors (see below), whose sum is σ = 2240145600. Its totient is φ = 315394560.

The previous prime is 976999997. The next prime is 977000041. The reversal of 977000022 is 220000779.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 977000022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480504 + ... + 482532.

It is an arithmetic number, because the mean of its divisors is an integer number (35002275).

Almost surely, 2977000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120072800).

977000022 is an abundant number, since it is smaller than the sum of its proper divisors (1263145578).

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

977000022 is a wasteful number, since it uses less digits than its factorization.

977000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 977000022 is about 31256.9995680967. Note that the first 3 decimals coincide. The cubic root of 977000022 is about 992.2738002403.

Adding to 977000022 its sum of digits (27), we get a square (977000049 = 312572).

The spelling of 977000022 in words is "nine hundred seventy-seven million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 241 333 482 666 723 999 1446 1998 2029 2169 4058 4338 6087 6507 8917 12174 13014 17834 18261 26751 36522 53502 54783 75073 80253 109566 150146 160506 225219 240759 450438 481518 488989 675657 977978 1351314 1466967 2026971 2933934 4053942 4400901 8801802 13202703 18092593 26405406 36185186 54277779 108555558 162833337 325666674 488500011 977000022