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215161020 = 223253373547
BaseRepresentation
bin11001101001100…
…01100010111100
3112222212022102200
430310301202330
5420040123040
633203351500
75221560414
oct1464614274
9488768380
10215161020
111004a8728
1260082590
1335765019
142080b644
1513d51630
hexcd318bc

215161020 has 72 divisors (see below), whose sum is σ = 654776304. Its totient is φ = 57189888.

The previous prime is 215161013. The next prime is 215161069. The reversal of 215161020 is 20161512.

215161020 is a `hidden beast` number, since 2 + 1 + 51 + 610 + 2 + 0 = 666.

215161020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 215160984 and 215161002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58887 + ... + 62433.

Almost surely, 2215161020 is an apocalyptic number.

215161020 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 215161020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327388152).

215161020 is an abundant number, since it is smaller than the sum of its proper divisors (439615284).

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

215161020 is a wasteful number, since it uses less digits than its factorization.

215161020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 215161020 is about 14668.3680073824. The cubic root of 215161020 is about 599.2221587073. Note that the first 3 decimals are identical.

The spelling of 215161020 in words is "two hundred fifteen million, one hundred sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 337 674 1011 1348 1685 2022 3033 3370 3547 4044 5055 6066 6740 7094 10110 10641 12132 14188 15165 17735 20220 21282 30330 31923 35470 42564 53205 60660 63846 70940 106410 127692 159615 212820 319230 638460 1195339 2390678 3586017 4781356 5976695 7172034 10758051 11953390 14344068 17930085 21516102 23906780 35860170 43032204 53790255 71720340 107580510 215161020