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214711840 = 2557191707
BaseRepresentation
bin11001100110000…
…11111000100000
3112222000111021101
430303003320200
5414431234330
633150004144
75215010020
oct1463037040
9488014241
10214711840
11100221202
125baa6654
1335638735
1420731a80
1513cb34ca
hexccc3e20

214711840 has 48 divisors (see below), whose sum is σ = 579724992. Its totient is φ = 73615104.

The previous prime is 214711823. The next prime is 214711867. The reversal of 214711840 is 48117412.

It is a super-2 number, since 2×2147118402 = 92202348472371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 214711799 and 214711808.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94734 + ... + 96973.

It is an arithmetic number, because the mean of its divisors is an integer number (12077604).

Almost surely, 2214711840 is an apocalyptic number.

214711840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214711840 is an abundant number, since it is smaller than the sum of its proper divisors (365013152).

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

214711840 is a wasteful number, since it uses less digits than its factorization.

214711840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191729 (or 191721 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 214711840 is about 14653.0488295099. The cubic root of 214711840 is about 598.8048803214.

The spelling of 214711840 in words is "two hundred fourteen million, seven hundred eleven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 191707 383414 766828 958535 1341949 1533656 1917070 2683898 3067312 3834140 5367796 6134624 6709745 7668280 10735592 13419490 15336560 21471184 26838980 30673120 42942368 53677960 107355920 214711840