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2266672500 = 223254100741
BaseRepresentation
bin1000011100011010…
…1010110101110100
312211222010220010100
42013012222311310
514120232010000
61012530354100
7110112253431
oct20706526564
95758126110
102266672500
11a63528664
1253312b930
132a17a6741
14177074b88
15d3edba00
hex871aad74

2266672500 has 90 divisors (see below), whose sum is σ = 7159834682. Its totient is φ = 604440000.

The previous prime is 2266672493. The next prime is 2266672579. The reversal of 2266672500 is 52766622.

2266672500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 945931536 + 1320740964 = 30756^2 + 36342^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 29 ways as a sum of consecutive naturals, for example, 27871 + ... + 72870.

Almost surely, 22266672500 is an apocalyptic number.

2266672500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2266672500 is an abundant number, since it is smaller than the sum of its proper divisors (4893162182).

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

2266672500 is a wasteful number, since it uses less digits than its factorization.

2266672500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100771 (or 100751 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2266672500 is about 47609.5841191666. The cubic root of 2266672500 is about 1313.5993510345.

The spelling of 2266672500 in words is "two billion, two hundred sixty-six million, six hundred seventy-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 22500 100741 201482 302223 402964 503705 604446 906669 1007410 1208892 1511115 1813338 2014820 2518525 3022230 3626676 4533345 5037050 6044460 7555575 9066690 10074100 12592625 15111150 18133380 22666725 25185250 30222300 37777875 45333450 50370500 62963125 75555750 90666900 113333625 125926250 151111500 188889375 226667250 251852500 377778750 453334500 566668125 755557500 1133336250 2266672500