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221221402040430 = 232511223455961657
BaseRepresentation
bin110010010011001100011111…
…000101011101100001101110
31002000021120002212111222100200
4302103030133011131201232
5212443442412410243210
62102255413100134330
764411501366361001
oct6223143705354156
91060246085458320
10221221402040430
11645405192491a0
122098a233b373a6
13965911cb4965c
143c8b25c975538
151a897229c60c0
hexc9331f15d86e

221221402040430 has 48 divisors (see below), whose sum is σ = 627464340335664. Its totient is φ = 53629430797440.

The previous prime is 221221402040423. The next prime is 221221402040453. The reversal of 221221402040430 is 34040204122122.

It is a happy number.

221221402040430 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 21 + 4 + 0 + 204 + 0 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221221402040394 and 221221402040403.

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, 111727979839 + ... + 111727981818.

It is an arithmetic number, because the mean of its divisors is an integer number (13072173756993).

Almost surely, 2221221402040430 is an apocalyptic number.

221221402040430 is an abundant number, since it is smaller than the sum of its proper divisors (406242938295234).

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

221221402040430 is a wasteful number, since it uses less digits than its factorization.

221221402040430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223455961681 (or 223455961678 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 221221402040430 its reverse (34040204122122), we get a palindrome (255261606162552).

The spelling of 221221402040430 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, four hundred two million, forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 223455961657 446911923314 670367884971 1117279808285 1340735769942 2011103654913 2234559616570 2458015578227 3351839424855 4022207309826 4916031156454 6703678849710 7374046734681 10055518274565 12290077891135 14748093469362 20111036549130 22122140204043 24580155782270 36870233673405 44244280408086 73740467346810 110610701020215 221221402040430