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221407420 = 22513877971
BaseRepresentation
bin11010011001001…
…10100010111100
3120102121122212211
431030212202330
5423140014140
633545310204
75325634453
oct1514464274
9512548784
10221407420
11103a84743
1262195364
1336b41210
1421595b9a
15146872ea
hexd3268bc

221407420 has 48 divisors (see below), whose sum is σ = 501808608. Its totient is φ = 81573120.

The previous prime is 221407411. The next prime is 221407441. The reversal of 221407420 is 24704122.

It is a happy number.

221407420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221407391 and 221407400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227535 + ... + 228505.

It is an arithmetic number, because the mean of its divisors is an integer number (10454346).

Almost surely, 2221407420 is an apocalyptic number.

221407420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221407420 is an abundant number, since it is smaller than the sum of its proper divisors (280401188).

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

221407420 is a wasteful number, since it uses less digits than its factorization.

221407420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 221407420 is about 14879.7654551407. The cubic root of 221407420 is about 604.9656606879.

The spelling of 221407420 in words is "two hundred twenty-one million, four hundred seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 877 971 1754 1942 3508 3884 4385 4855 8770 9710 11401 12623 17540 19420 22802 25246 45604 50492 57005 63115 114010 126230 228020 252460 851567 1703134 3406268 4257835 8515670 11070371 17031340 22140742 44281484 55351855 110703710 221407420