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200151414 = 23271199787
BaseRepresentation
bin10111110111000…
…01000101110110
3111221121202010100
423323201011312
5402214321124
631505534530
74650154551
oct1373410566
9457552110
10200151414
11a2a867a1
1257044446
133260b1b8
141c821698
15128891c9
hexbee1176

200151414 has 48 divisors (see below), whose sum is σ = 442540800. Its totient is φ = 65363760.

The previous prime is 200151361. The next prime is 200151433. The reversal of 200151414 is 414151002.

200151414 is a `hidden beast` number, since 200 + 1 + 51 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253929 + ... + 254715.

It is an arithmetic number, because the mean of its divisors is an integer number (9219600).

Almost surely, 2200151414 is an apocalyptic number.

200151414 is an abundant number, since it is smaller than the sum of its proper divisors (242389386).

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

200151414 is a wasteful number, since it uses less digits than its factorization.

200151414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 200151414 is about 14147.4879042182. The cubic root of 200151414 is about 584.9510894896.

The spelling of 200151414 in words is "two hundred million, one hundred fifty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 71 142 199 213 398 426 597 639 787 1194 1278 1574 1791 2361 3582 4722 7083 14129 14166 28258 42387 55877 84774 111754 127161 156613 167631 254322 313226 335262 469839 502893 939678 1005786 1409517 2819034 11119523 22239046 33358569 66717138 100075707 200151414