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20214656 = 277211293
BaseRepresentation
bin100110100011…
…1001110000000
31102001000021222
41031013032000
520133332111
62001134212
7333551600
oct115071600
942030258
1020214656
1110457630
12692a368
13425a047
142982c00
151b947db
hex1347380

20214656 has 96 divisors (see below), whose sum is σ = 51279480. Its totient is φ = 7848960.

The previous prime is 20214647. The next prime is 20214661. The reversal of 20214656 is 65641202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68846 + ... + 69138.

Almost surely, 220214656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20214656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25639740).

20214656 is an abundant number, since it is smaller than the sum of its proper divisors (31064824).

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

20214656 is a wasteful number, since it uses less digits than its factorization.

20214656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 20214656 is about 4496.0711738139. The cubic root of 20214656 is about 272.4094180314.

Adding to 20214656 its reverse (65641202), we get a palindrome (85855858).

It can be divided in two parts, 202146 and 56, that added together give a palindrome (202202).

The spelling of 20214656 in words is "twenty million, two hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 293 308 352 392 448 539 586 616 704 784 896 1078 1172 1232 1408 1568 2051 2156 2344 2464 3136 3223 4102 4312 4688 4928 6272 6446 8204 8624 9376 9856 12892 14357 16408 17248 18752 22561 25784 28714 32816 34496 37504 45122 51568 57428 65632 68992 90244 103136 114856 131264 157927 180488 206272 229712 262528 315854 360976 412544 459424 631708 721952 918848 1263416 1443904 1837696 2526832 2887808 5053664 10107328 20214656