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221274072140 = 225112523174829
BaseRepresentation
bin1100111000010011110…
…1100110010001001100
3210011010222012112011012
43032010331212101030
512111132130302030
6245352451144352
721662243402642
oct3160475462114
9704128175135
10221274072140
1185929499500
1236a742a50b8
1317b34954444
14a9d1699192
155b50ead095
hex3384f6644c

221274072140 has 72 divisors (see below), whose sum is σ = 511738599120. Its totient is φ = 80308990080.

The previous prime is 221274072127. The next prime is 221274072211. The reversal of 221274072140 is 41270472122.

It is a junction number, because it is equal to n+sod(n) for n = 221274072097 and 221274072106.

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, 1178246 + ... + 1353074.

Almost surely, 2221274072140 is an apocalyptic number.

221274072140 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 221274072140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255869299560).

221274072140 is an abundant number, since it is smaller than the sum of its proper divisors (290464526980).

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

221274072140 is a wasteful number, since it uses less digits than its factorization.

221274072140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175383 (or 175370 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The spelling of 221274072140 in words is "two hundred twenty-one billion, two hundred seventy-four million, seventy-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 523 605 1046 1210 2092 2420 2615 5230 5753 10460 11506 23012 28765 57530 63283 115060 126566 174829 253132 316415 349658 632830 699316 874145 1265660 1748290 1923119 3496580 3846238 7692476 9615595 19231190 21154309 38462380 42308618 84617236 91435567 105771545 182871134 211543090 365742268 423086180 457177835 914355670 1005791237 1828711340 2011582474 4023164948 5028956185 10057912370 11063703607 20115824740 22127407214 44254814428 55318518035 110637036070 221274072140