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196014464 = 2723139479
BaseRepresentation
bin10111010111011…
…11000110000000
3111122211120021222
423223233012000
5400134430324
631241134212
74600044512
oct1353570600
9448746258
10196014464
11a0710628
125578a368
13317c01b9
141c065bb2
151231d55e
hexbaef180

196014464 has 64 divisors (see below), whose sum is σ = 411264000. Its totient is φ = 92877312.

The previous prime is 196014449. The next prime is 196014479. The reversal of 196014464 is 464410691.

It is a happy number.

196014464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196014449) and next prime (196014479).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 408977 + ... + 409455.

It is an arithmetic number, because the mean of its divisors is an integer number (6426000).

Almost surely, 2196014464 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 196014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

196014464 is an abundant number, since it is smaller than the sum of its proper divisors (215249536).

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

196014464 is a wasteful number, since it uses less digits than its factorization.

196014464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 196014464 is about 14000.5165618987. The cubic root of 196014464 is about 580.8928618275.

The spelling of 196014464 in words is "one hundred ninety-six million, fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 139 184 278 368 479 556 736 958 1112 1472 1916 2224 2944 3197 3832 4448 6394 7664 8896 11017 12788 15328 17792 22034 25576 30656 44068 51152 61312 66581 88136 102304 133162 176272 204608 266324 352544 409216 532648 705088 1065296 1410176 1531363 2130592 3062726 4261184 6125452 8522368 12250904 24501808 49003616 98007232 196014464