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2025969000 = 233531129273
BaseRepresentation
bin111100011000001…
…1101010101101000
312020012012212222220
41320300131111220
513122122002000
6533011314040
7101130311106
oct17060352550
95205185886
102025969000
1194a674550
124865ab920
1326396a633
141530d8c76
15bcce21a0
hex78c1d568

2025969000 has 384 divisors, whose sum is σ = 7239473280. Its totient is φ = 467712000.

The previous prime is 2025968969. The next prime is 2025969041. The reversal of 2025969000 is 9695202.

It is a super-2 number, since 2×20259690002 = 8209100777922000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 27752964 + ... + 27753036.

It is an arithmetic number, because the mean of its divisors is an integer number (18852795).

Almost surely, 22025969000 is an apocalyptic number.

2025969000 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 2025969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619736640).

2025969000 is an abundant number, since it is smaller than the sum of its proper divisors (5213504280).

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

2025969000 is a wasteful number, since it uses less digits than its factorization.

2025969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 2025969000 is about 45010.7653789624. The cubic root of 2025969000 is about 1265.3507648477.

The spelling of 2025969000 in words is "two billion, twenty-five million, nine hundred sixty-nine thousand".