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213356136 = 23373171577
BaseRepresentation
bin11001011011110…
…00111001101000
3112212110121121010
430231320321220
5414104344021
633100543520
75200332360
oct1455707150
9485417533
10213356136
11aa485694
125b551ba0
1335282646
142049b9a0
1513ae6976
hexcb78e68

213356136 has 128 divisors (see below), whose sum is σ = 639221760. Its totient is φ = 58060800.

The previous prime is 213356131. The next prime is 213356147. The reversal of 213356136 is 631653312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213356131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369480 + ... + 370056.

It is an arithmetic number, because the mean of its divisors is an integer number (4993920).

Almost surely, 2213356136 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 213356136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319610880).

213356136 is an abundant number, since it is smaller than the sum of its proper divisors (425865624).

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

213356136 is a wasteful number, since it uses less digits than its factorization.

213356136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 691 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 213356136 is about 14606.7154418781. The cubic root of 213356136 is about 597.5419212780.

The spelling of 213356136 in words is "two hundred thirteen million, three hundred fifty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 71 84 93 124 142 168 186 213 217 248 284 372 426 434 497 568 577 651 744 852 868 994 1154 1302 1491 1704 1731 1736 1988 2201 2308 2604 2982 3462 3976 4039 4402 4616 5208 5964 6603 6924 8078 8804 11928 12117 13206 13848 15407 16156 17608 17887 24234 26412 30814 32312 35774 40967 46221 48468 52824 53661 61628 71548 81934 92442 96936 107322 122901 123256 125209 143096 163868 184884 214644 245802 250418 286769 327736 369768 375627 429288 491604 500836 573538 751254 860307 983208 1001672 1147076 1269977 1502508 1720614 2294152 2539954 3005016 3441228 3809931 5079908 6882456 7619862 8889839 10159816 15239724 17779678 26669517 30479448 35559356 53339034 71118712 106678068 213356136