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215205114020 = 225134159933703
BaseRepresentation
bin1100100001101100111…
…0010111000010100100
3202120111000101111201112
43020123032113002210
512011220002122040
6242510332244152
721355661200331
oct3103316270244
9676430344645
10215205114020
11832a4749436
123585b910658
13173a84c3170
14a5b7659988
1558e82a3365
hex321b3970a4

215205114020 has 96 divisors (see below), whose sum is σ = 499412390400. Its totient is φ = 77390576640.

The previous prime is 215205113987. The next prime is 215205114023. The reversal of 215205114020 is 20411502512.

It is a super-2 number, since 2×2152051140202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (215205114023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6368489 + ... + 6402191.

It is an arithmetic number, because the mean of its divisors is an integer number (5202212400).

Almost surely, 2215205114020 is an apocalyptic number.

215205114020 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 215205114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249706195200).

215205114020 is an abundant number, since it is smaller than the sum of its proper divisors (284207276380).

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

215205114020 is a wasteful number, since it uses less digits than its factorization.

215205114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34365 (or 34363 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 215205114020 its reverse (20411502512), we get a palindrome (235616616532).

The spelling of 215205114020 in words is "two hundred fifteen billion, two hundred five million, one hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 599 820 1066 1198 2132 2396 2665 2995 5330 5990 7787 10660 11980 15574 24559 31148 33703 38935 49118 67406 77870 98236 122795 134812 155740 168515 245590 319267 337030 438139 491180 638534 674060 876278 1277068 1381823 1596335 1752556 2190695 2763646 3192670 4381390 5527292 6385340 6909115 8762780 13818230 17963699 20188097 27636460 35927398 40376194 71854796 80752388 89818495 100940485 179636990 201880970 262445261 359273980 403761940 524890522 827711977 1049781044 1312226305 1655423954 2624452610 3310847908 4138559885 5248905220 8277119770 10760255701 16554239540 21520511402 43041022804 53801278505 107602557010 215205114020