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213977142 = 232233761229
BaseRepresentation
bin11001100000100…
…00100000110110
3112220122011110100
430300100200312
5414234232032
633122134530
75205530031
oct1460204066
9486564410
10213977142
11aa86a215
125b7b1446
133543c1c2
14205c0018
1513bba97c
hexcc10836

213977142 has 96 divisors (see below), whose sum is σ = 507199680. Its totient is φ = 65007360.

The previous prime is 213977131. The next prime is 213977177. The reversal of 213977142 is 241779312.

It is a junction number, because it is equal to n+sod(n) for n = 213977097 and 213977106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 934284 + ... + 934512.

It is an arithmetic number, because the mean of its divisors is an integer number (5283330).

Almost surely, 2213977142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213977142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253599840).

213977142 is an abundant number, since it is smaller than the sum of its proper divisors (293222538).

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

213977142 is a wasteful number, since it uses less digits than its factorization.

213977142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 355 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 213977142 is about 14627.9575471082. The cubic root of 213977142 is about 598.1211057355.

The spelling of 213977142 in words is "two hundred thirteen million, nine hundred seventy-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 37 46 61 69 74 111 122 138 183 207 222 229 333 366 414 458 549 666 687 851 1098 1374 1403 1702 2061 2257 2553 2806 4122 4209 4514 5106 5267 6771 7659 8418 8473 10534 12627 13542 13969 15318 15801 16946 20313 25254 25419 27938 31602 40626 41907 47403 50838 51911 76257 83814 94806 103822 125721 152514 155733 194879 251442 311466 321287 389758 467199 516853 584637 642574 934398 963861 1033706 1169274 1550559 1753911 1927722 2891583 3101118 3507822 4651677 5783166 9303354 11887619 23775238 35662857 71325714 106988571 213977142