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10227192840 = 233453156541
BaseRepresentation
bin10011000011001011…
…01001010000001000
3222101202021020010000
421201211221100020
5131421130132330
64410500123000
7511303463514
oct114145512010
928352236100
1010227192840
114378a90397
121b95096460
13c6caa5ac7
146d03c3144
153eccd9560
hex261969408

10227192840 has 80 divisors (see below), whose sum is σ = 34374742380. Its totient is φ = 2727250560.

The previous prime is 10227192821. The next prime is 10227192841. The reversal of 10227192840 is 4829172201.

10227192840 is a `hidden beast` number, since 102 + 271 + 9 + 284 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8906451876 + 1320740964 = 94374^2 + 36342^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10227192795 and 10227192804.

It is not an unprimeable number, because it can be changed into a prime (10227192841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1575031 + ... + 1581510.

Almost surely, 210227192840 is an apocalyptic number.

10227192840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10227192840 is an abundant number, since it is smaller than the sum of its proper divisors (24147549540).

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

10227192840 is a wasteful number, since it uses less digits than its factorization.

10227192840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156564 (or 3156551 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10227192840 in words is "ten billion, two hundred twenty-seven million, one hundred ninety-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 3156541 6313082 9469623 12626164 15782705 18939246 25252328 28408869 31565410 37878492 47348115 56817738 63130820 75756984 85226607 94696230 113635476 126261640 142044345 170453214 189392460 227270952 255679821 284088690 340906428 378784920 426133035 511359642 568177380 681812856 852266070 1022719284 1136354760 1278399105 1704532140 2045438568 2556798210 3409064280 5113596420 10227192840