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2270104700 = 225247547883
BaseRepresentation
bin1000011101001111…
…0000110001111100
312212012121021012212
42013103300301330
514122121322300
61013132115552
7110153400023
oct20723606174
95765537185
102270104700
11a65462296
12534305bb8
132a2408a26
141776c98ba
15d4468935
hex874f0c7c

2270104700 has 72 divisors (see below), whose sum is σ = 5045843712. Its totient is φ = 886092480.

The previous prime is 2270104699. The next prime is 2270104703. The reversal of 2270104700 is 74010722.

2270104700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270104703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2570459 + ... + 2571341.

Almost surely, 22270104700 is an apocalyptic number.

2270104700 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 2270104700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522921856).

2270104700 is an abundant number, since it is smaller than the sum of its proper divisors (2775739012).

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

2270104700 is a wasteful number, since it uses less digits than its factorization.

2270104700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 2270104700 is about 47645.6157479363. The cubic root of 2270104700 is about 1314.2620349163.

The spelling of 2270104700 in words is "two billion, two hundred seventy million, one hundred four thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 547 883 940 1094 1175 1766 2188 2350 2735 3532 4415 4700 5470 8830 10940 13675 17660 22075 25709 27350 41501 44150 51418 54700 83002 88300 102836 128545 166004 207505 257090 415010 483001 514180 642725 830020 966002 1037525 1285450 1932004 2075050 2415005 2570900 4150100 4830010 9660020 12075025 22701047 24150050 45402094 48300100 90804188 113505235 227010470 454020940 567526175 1135052350 2270104700